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Finding the Fourth Proportional to 2,886.53, 3,983.42 and 1,560.24

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Solution

The fourth proportional to 2,886.53, 3,983.42 and 1,560.24 is: 2,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.53 : 3,983.42 = 1,560.24 : x
  2. Step 2: Convert to fraction form
    2,886.53/3,983.42 = 1,560.24/x
  3. Step 3: Cross multiply
    2,886.53x = 3,983.42 × 1,560.24
  4. Step 4: Simplify right side
    2,886.53x = 6,215,063.50
  5. Step 5: Solve for x
    x = 6,215,063.50/2,886.53
  6. Step 6: Final answer
    x = 2,153.13

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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.