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Finding the Fourth Proportional to 2,652.64, 3,981.13 and 1,114.72

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Solution

The fourth proportional to 2,652.64, 3,981.13 and 1,114.72 is: 1,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.64 : 3,981.13 = 1,114.72 : x
  2. Step 2: Convert to fraction form
    2,652.64/3,981.13 = 1,114.72/x
  3. Step 3: Cross multiply
    2,652.64x = 3,981.13 × 1,114.72
  4. Step 4: Simplify right side
    2,652.64x = 4,437,845.23
  5. Step 5: Solve for x
    x = 4,437,845.23/2,652.64
  6. Step 6: Final answer
    x = 1,672.99

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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.