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Finding the Fourth Proportional to 1,658.54, 2,482.34 and 1,476.29

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Solution

The fourth proportional to 1,658.54, 2,482.34 and 1,476.29 is: 2,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.54 : 2,482.34 = 1,476.29 : x
  2. Step 2: Convert to fraction form
    1,658.54/2,482.34 = 1,476.29/x
  3. Step 3: Cross multiply
    1,658.54x = 2,482.34 × 1,476.29
  4. Step 4: Simplify right side
    1,658.54x = 3,664,633.93
  5. Step 5: Solve for x
    x = 3,664,633.93/1,658.54
  6. Step 6: Final answer
    x = 2,209.56

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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.