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Finding the Fourth Proportional to 2,762.72, 4,151.28 and 2,398.40

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Solution

The fourth proportional to 2,762.72, 4,151.28 and 2,398.40 is: 3,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.72 : 4,151.28 = 2,398.40 : x
  2. Step 2: Convert to fraction form
    2,762.72/4,151.28 = 2,398.40/x
  3. Step 3: Cross multiply
    2,762.72x = 4,151.28 × 2,398.40
  4. Step 4: Simplify right side
    2,762.72x = 9,956,429.95
  5. Step 5: Solve for x
    x = 9,956,429.95/2,762.72
  6. Step 6: Final answer
    x = 3,603.85

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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.