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Finding the Fourth Proportional to 1,314.56, 1,961.65 and 1,139.60

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Solution

The fourth proportional to 1,314.56, 1,961.65 and 1,139.60 is: 1,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.56 : 1,961.65 = 1,139.60 : x
  2. Step 2: Convert to fraction form
    1,314.56/1,961.65 = 1,139.60/x
  3. Step 3: Cross multiply
    1,314.56x = 1,961.65 × 1,139.60
  4. Step 4: Simplify right side
    1,314.56x = 2,235,502.67
  5. Step 5: Solve for x
    x = 2,235,502.67/1,314.56
  6. Step 6: Final answer
    x = 1,700.57

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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.