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Finding the Fourth Proportional to 1,139.86, 1,710.62 and 1,071.82

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Solution

The fourth proportional to 1,139.86, 1,710.62 and 1,071.82 is: 1,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.86 : 1,710.62 = 1,071.82 : x
  2. Step 2: Convert to fraction form
    1,139.86/1,710.62 = 1,071.82/x
  3. Step 3: Cross multiply
    1,139.86x = 1,710.62 × 1,071.82
  4. Step 4: Simplify right side
    1,139.86x = 1,833,462.82
  5. Step 5: Solve for x
    x = 1,833,462.82/1,139.86
  6. Step 6: Final answer
    x = 1,608.51

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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.