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Finding the Fourth Proportional to 1,341.15, 2,010.47 and 691.71

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Solution

The fourth proportional to 1,341.15, 2,010.47 and 691.71 is: 1,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.15 : 2,010.47 = 691.71 : x
  2. Step 2: Convert to fraction form
    1,341.15/2,010.47 = 691.71/x
  3. Step 3: Cross multiply
    1,341.15x = 2,010.47 × 691.71
  4. Step 4: Simplify right side
    1,341.15x = 1,390,658.75
  5. Step 5: Solve for x
    x = 1,390,658.75/1,341.15
  6. Step 6: Final answer
    x = 1,036.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.