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Finding the Fourth Proportional to 1,306.70, 1,950.66 and 1,293.74

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Solution

The fourth proportional to 1,306.70, 1,950.66 and 1,293.74 is: 1,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.70 : 1,950.66 = 1,293.74 : x
  2. Step 2: Convert to fraction form
    1,306.70/1,950.66 = 1,293.74/x
  3. Step 3: Cross multiply
    1,306.70x = 1,950.66 × 1,293.74
  4. Step 4: Simplify right side
    1,306.70x = 2,523,646.87
  5. Step 5: Solve for x
    x = 2,523,646.87/1,306.70
  6. Step 6: Final answer
    x = 1,931.31

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