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Finding the Fourth Proportional to 2,527.64, 3,785.95 and 1,600.89

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Solution

The fourth proportional to 2,527.64, 3,785.95 and 1,600.89 is: 2,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.64 : 3,785.95 = 1,600.89 : x
  2. Step 2: Convert to fraction form
    2,527.64/3,785.95 = 1,600.89/x
  3. Step 3: Cross multiply
    2,527.64x = 3,785.95 × 1,600.89
  4. Step 4: Simplify right side
    2,527.64x = 6,060,889.50
  5. Step 5: Solve for x
    x = 6,060,889.50/2,527.64
  6. Step 6: Final answer
    x = 2,397.85

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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.