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Finding the Fourth Proportional to 1,462.91, 2,008.01 and 1,302.02

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Solution

The fourth proportional to 1,462.91, 2,008.01 and 1,302.02 is: 1,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.91 : 2,008.01 = 1,302.02 : x
  2. Step 2: Convert to fraction form
    1,462.91/2,008.01 = 1,302.02/x
  3. Step 3: Cross multiply
    1,462.91x = 2,008.01 × 1,302.02
  4. Step 4: Simplify right side
    1,462.91x = 2,614,452.63
  5. Step 5: Solve for x
    x = 2,614,452.63/1,462.91
  6. Step 6: Final answer
    x = 1,787.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.