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Finding the Fourth Proportional to 1,527.98, 2,288.50 and 972.69

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Solution

The fourth proportional to 1,527.98, 2,288.50 and 972.69 is: 1,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.98 : 2,288.50 = 972.69 : x
  2. Step 2: Convert to fraction form
    1,527.98/2,288.50 = 972.69/x
  3. Step 3: Cross multiply
    1,527.98x = 2,288.50 × 972.69
  4. Step 4: Simplify right side
    1,527.98x = 2,226,001.07
  5. Step 5: Solve for x
    x = 2,226,001.07/1,527.98
  6. Step 6: Final answer
    x = 1,456.83

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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.