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Finding the Fourth Proportional to 1,527.90, 2,108.23 and 898.56

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Solution

The fourth proportional to 1,527.90, 2,108.23 and 898.56 is: 1,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.90 : 2,108.23 = 898.56 : x
  2. Step 2: Convert to fraction form
    1,527.90/2,108.23 = 898.56/x
  3. Step 3: Cross multiply
    1,527.90x = 2,108.23 × 898.56
  4. Step 4: Simplify right side
    1,527.90x = 1,894,360.61
  5. Step 5: Solve for x
    x = 1,894,360.61/1,527.90
  6. Step 6: Final answer
    x = 1,239.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.