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Finding the Fourth Proportional to 3,232.40, 4,460.64 and 1,835.12

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Solution

The fourth proportional to 3,232.40, 4,460.64 and 1,835.12 is: 2,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.40 : 4,460.64 = 1,835.12 : x
  2. Step 2: Convert to fraction form
    3,232.40/4,460.64 = 1,835.12/x
  3. Step 3: Cross multiply
    3,232.40x = 4,460.64 × 1,835.12
  4. Step 4: Simplify right side
    3,232.40x = 8,185,809.68
  5. Step 5: Solve for x
    x = 8,185,809.68/3,232.40
  6. Step 6: Final answer
    x = 2,532.42

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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.