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Finding the Fourth Proportional to 2,428.64, 3,643 and 697.27

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Solution

The fourth proportional to 2,428.64, 3,643 and 697.27 is: 1,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.64 : 3,643 = 697.27 : x
  2. Step 2: Convert to fraction form
    2,428.64/3,643 = 697.27/x
  3. Step 3: Cross multiply
    2,428.64x = 3,643 × 697.27
  4. Step 4: Simplify right side
    2,428.64x = 2,540,154.61
  5. Step 5: Solve for x
    x = 2,540,154.61/2,428.64
  6. Step 6: Final answer
    x = 1,045.92

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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.