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Finding the Fourth Proportional to 2,470.78, 3,409.90 and 1,476.04

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Solution

The fourth proportional to 2,470.78, 3,409.90 and 1,476.04 is: 2,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.78 : 3,409.90 = 1,476.04 : x
  2. Step 2: Convert to fraction form
    2,470.78/3,409.90 = 1,476.04/x
  3. Step 3: Cross multiply
    2,470.78x = 3,409.90 × 1,476.04
  4. Step 4: Simplify right side
    2,470.78x = 5,033,148.80
  5. Step 5: Solve for x
    x = 5,033,148.80/2,470.78
  6. Step 6: Final answer
    x = 2,037.07

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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.