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Finding the Fourth Proportional to 2,291.98, 3,160.06 and 1,871.86

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Solution

The fourth proportional to 2,291.98, 3,160.06 and 1,871.86 is: 2,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.98 : 3,160.06 = 1,871.86 : x
  2. Step 2: Convert to fraction form
    2,291.98/3,160.06 = 1,871.86/x
  3. Step 3: Cross multiply
    2,291.98x = 3,160.06 × 1,871.86
  4. Step 4: Simplify right side
    2,291.98x = 5,915,189.91
  5. Step 5: Solve for x
    x = 5,915,189.91/2,291.98
  6. Step 6: Final answer
    x = 2,580.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.