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Finding the Fourth Proportional to 2,126.86, 3,187.55 and 1,029.71

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Solution

The fourth proportional to 2,126.86, 3,187.55 and 1,029.71 is: 1,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.86 : 3,187.55 = 1,029.71 : x
  2. Step 2: Convert to fraction form
    2,126.86/3,187.55 = 1,029.71/x
  3. Step 3: Cross multiply
    2,126.86x = 3,187.55 × 1,029.71
  4. Step 4: Simplify right side
    2,126.86x = 3,282,262.65
  5. Step 5: Solve for x
    x = 3,282,262.65/2,126.86
  6. Step 6: Final answer
    x = 1,543.25

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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.