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Finding the Fourth Proportional to 3,130.76, 4,320.16 and 1,871.57

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Solution

The fourth proportional to 3,130.76, 4,320.16 and 1,871.57 is: 2,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.76 : 4,320.16 = 1,871.57 : x
  2. Step 2: Convert to fraction form
    3,130.76/4,320.16 = 1,871.57/x
  3. Step 3: Cross multiply
    3,130.76x = 4,320.16 × 1,871.57
  4. Step 4: Simplify right side
    3,130.76x = 8,085,487.97
  5. Step 5: Solve for x
    x = 8,085,487.97/3,130.76
  6. Step 6: Final answer
    x = 2,582.59

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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.