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Finding the Fourth Proportional to 2,428.65, 3,642.98 and 697.28

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Solution

The fourth proportional to 2,428.65, 3,642.98 and 697.28 is: 1,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.65 : 3,642.98 = 697.28 : x
  2. Step 2: Convert to fraction form
    2,428.65/3,642.98 = 697.28/x
  3. Step 3: Cross multiply
    2,428.65x = 3,642.98 × 697.28
  4. Step 4: Simplify right side
    2,428.65x = 2,540,155.39
  5. Step 5: Solve for x
    x = 2,540,155.39/2,428.65
  6. Step 6: Final answer
    x = 1,045.91

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