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Finding the Fourth Proportional to 1,527.97, 2,108.37 and 898.45

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Solution

The fourth proportional to 1,527.97, 2,108.37 and 898.45 is: 1,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.97 : 2,108.37 = 898.45 : x
  2. Step 2: Convert to fraction form
    1,527.97/2,108.37 = 898.45/x
  3. Step 3: Cross multiply
    1,527.97x = 2,108.37 × 898.45
  4. Step 4: Simplify right side
    1,527.97x = 1,894,265.03
  5. Step 5: Solve for x
    x = 1,894,265.03/1,527.97
  6. Step 6: Final answer
    x = 1,239.73

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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.