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Finding the Fourth Proportional to 2,315.00, 3,470.38 and 754.04

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Solution

The fourth proportional to 2,315.00, 3,470.38 and 754.04 is: 1,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.00 : 3,470.38 = 754.04 : x
  2. Step 2: Convert to fraction form
    2,315.00/3,470.38 = 754.04/x
  3. Step 3: Cross multiply
    2,315.00x = 3,470.38 × 754.04
  4. Step 4: Simplify right side
    2,315.00x = 2,616,812.13
  5. Step 5: Solve for x
    x = 2,616,812.13/2,315.00
  6. Step 6: Final answer
    x = 1,130.37

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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.