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Finding the Fourth Proportional to 2,470.02, 3,705 and 1,007.52

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Solution

The fourth proportional to 2,470.02, 3,705 and 1,007.52 is: 1,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.02 : 3,705 = 1,007.52 : x
  2. Step 2: Convert to fraction form
    2,470.02/3,705 = 1,007.52/x
  3. Step 3: Cross multiply
    2,470.02x = 3,705 × 1,007.52
  4. Step 4: Simplify right side
    2,470.02x = 3,732,861.60
  5. Step 5: Solve for x
    x = 3,732,861.60/2,470.02
  6. Step 6: Final answer
    x = 1,511.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.