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Finding the Fourth Proportional to 3,232.47, 4,461.23 and 1,973.26

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Solution

The fourth proportional to 3,232.47, 4,461.23 and 1,973.26 is: 2,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.47 : 4,461.23 = 1,973.26 : x
  2. Step 2: Convert to fraction form
    3,232.47/4,461.23 = 1,973.26/x
  3. Step 3: Cross multiply
    3,232.47x = 4,461.23 × 1,973.26
  4. Step 4: Simplify right side
    3,232.47x = 8,803,166.71
  5. Step 5: Solve for x
    x = 8,803,166.71/3,232.47
  6. Step 6: Final answer
    x = 2,723.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.