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Finding the Fourth Proportional to 2,470.31, 3,409.08 and 1,476.16

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Solution

The fourth proportional to 2,470.31, 3,409.08 and 1,476.16 is: 2,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.31 : 3,409.08 = 1,476.16 : x
  2. Step 2: Convert to fraction form
    2,470.31/3,409.08 = 1,476.16/x
  3. Step 3: Cross multiply
    2,470.31x = 3,409.08 × 1,476.16
  4. Step 4: Simplify right side
    2,470.31x = 5,032,347.53
  5. Step 5: Solve for x
    x = 5,032,347.53/2,470.31
  6. Step 6: Final answer
    x = 2,037.13

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