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Finding the Fourth Proportional to 1,306.59, 1,947.14 and 1,267.05

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Solution

The fourth proportional to 1,306.59, 1,947.14 and 1,267.05 is: 1,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.59 : 1,947.14 = 1,267.05 : x
  2. Step 2: Convert to fraction form
    1,306.59/1,947.14 = 1,267.05/x
  3. Step 3: Cross multiply
    1,306.59x = 1,947.14 × 1,267.05
  4. Step 4: Simplify right side
    1,306.59x = 2,467,123.74
  5. Step 5: Solve for x
    x = 2,467,123.74/1,306.59
  6. Step 6: Final answer
    x = 1,888.22

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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.