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Finding the Fourth Proportional to 1,765.69, 2,658.85 and 1,306.70

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Solution

The fourth proportional to 1,765.69, 2,658.85 and 1,306.70 is: 1,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.69 : 2,658.85 = 1,306.70 : x
  2. Step 2: Convert to fraction form
    1,765.69/2,658.85 = 1,306.70/x
  3. Step 3: Cross multiply
    1,765.69x = 2,658.85 × 1,306.70
  4. Step 4: Simplify right side
    1,765.69x = 3,474,319.30
  5. Step 5: Solve for x
    x = 3,474,319.30/1,765.69
  6. Step 6: Final answer
    x = 1,967.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.