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Finding the Fourth Proportional to 1,606.02, 2,398.31 and 1,524.02

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Solution

The fourth proportional to 1,606.02, 2,398.31 and 1,524.02 is: 2,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.02 : 2,398.31 = 1,524.02 : x
  2. Step 2: Convert to fraction form
    1,606.02/2,398.31 = 1,524.02/x
  3. Step 3: Cross multiply
    1,606.02x = 2,398.31 × 1,524.02
  4. Step 4: Simplify right side
    1,606.02x = 3,655,064.79
  5. Step 5: Solve for x
    x = 3,655,064.79/1,606.02
  6. Step 6: Final answer
    x = 2,275.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.