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Finding the Fourth Proportional to 2,045.32, 3,068.18 and 658.68

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Solution

The fourth proportional to 2,045.32, 3,068.18 and 658.68 is: 988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.32 : 3,068.18 = 658.68 : x
  2. Step 2: Convert to fraction form
    2,045.32/3,068.18 = 658.68/x
  3. Step 3: Cross multiply
    2,045.32x = 3,068.18 × 658.68
  4. Step 4: Simplify right side
    2,045.32x = 2,020,948.80
  5. Step 5: Solve for x
    x = 2,020,948.80/2,045.32
  6. Step 6: Final answer
    x = 988.08

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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.