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Finding the Fourth Proportional to 3,129.84, 4,314.87 and 2,289.47

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Solution

The fourth proportional to 3,129.84, 4,314.87 and 2,289.47 is: 3,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.84 : 4,314.87 = 2,289.47 : x
  2. Step 2: Convert to fraction form
    3,129.84/4,314.87 = 2,289.47/x
  3. Step 3: Cross multiply
    3,129.84x = 4,314.87 × 2,289.47
  4. Step 4: Simplify right side
    3,129.84x = 9,878,743.84
  5. Step 5: Solve for x
    x = 9,878,743.84/3,129.84
  6. Step 6: Final answer
    x = 3,156.31

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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.