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Finding the Fourth Proportional to 3,460.65, 4,775.64 and 1,948.22

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Solution

The fourth proportional to 3,460.65, 4,775.64 and 1,948.22 is: 2,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.65 : 4,775.64 = 1,948.22 : x
  2. Step 2: Convert to fraction form
    3,460.65/4,775.64 = 1,948.22/x
  3. Step 3: Cross multiply
    3,460.65x = 4,775.64 × 1,948.22
  4. Step 4: Simplify right side
    3,460.65x = 9,303,973.48
  5. Step 5: Solve for x
    x = 9,303,973.48/3,460.65
  6. Step 6: Final answer
    x = 2,688.50

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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.