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Finding the Fourth Proportional to 2,002.95, 2,763.50 and 1,560.87

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Solution

The fourth proportional to 2,002.95, 2,763.50 and 1,560.87 is: 2,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.95 : 2,763.50 = 1,560.87 : x
  2. Step 2: Convert to fraction form
    2,002.95/2,763.50 = 1,560.87/x
  3. Step 3: Cross multiply
    2,002.95x = 2,763.50 × 1,560.87
  4. Step 4: Simplify right side
    2,002.95x = 4,313,456.44
  5. Step 5: Solve for x
    x = 4,313,456.44/2,002.95
  6. Step 6: Final answer
    x = 2,153.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.