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Finding the Fourth Proportional to 1,601.95, 2,402.53 and 614.56

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Solution

The fourth proportional to 1,601.95, 2,402.53 and 614.56 is: 921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.95 : 2,402.53 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,601.95/2,402.53 = 614.56/x
  3. Step 3: Cross multiply
    1,601.95x = 2,402.53 × 614.56
  4. Step 4: Simplify right side
    1,601.95x = 1,476,498.84
  5. Step 5: Solve for x
    x = 1,476,498.84/1,601.95
  6. Step 6: Final answer
    x = 921.69

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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.