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Finding the Fourth Proportional to 3,130.74, 4,320.80 and 1,871.78

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Solution

The fourth proportional to 3,130.74, 4,320.80 and 1,871.78 is: 2,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.74 : 4,320.80 = 1,871.78 : x
  2. Step 2: Convert to fraction form
    3,130.74/4,320.80 = 1,871.78/x
  3. Step 3: Cross multiply
    3,130.74x = 4,320.80 × 1,871.78
  4. Step 4: Simplify right side
    3,130.74x = 8,087,602.51
  5. Step 5: Solve for x
    x = 8,087,602.51/3,130.74
  6. Step 6: Final answer
    x = 2,583.29

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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.