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Finding the Fourth Proportional to 1,527.72, 2,292.64 and 834.52

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Solution

The fourth proportional to 1,527.72, 2,292.64 and 834.52 is: 1,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.72 : 2,292.64 = 834.52 : x
  2. Step 2: Convert to fraction form
    1,527.72/2,292.64 = 834.52/x
  3. Step 3: Cross multiply
    1,527.72x = 2,292.64 × 834.52
  4. Step 4: Simplify right side
    1,527.72x = 1,913,253.93
  5. Step 5: Solve for x
    x = 1,913,253.93/1,527.72
  6. Step 6: Final answer
    x = 1,252.36

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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.