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Finding the Fourth Proportional to 3,130.70, 4,320.08 and 1,871.51

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Solution

The fourth proportional to 3,130.70, 4,320.08 and 1,871.51 is: 2,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.70 : 4,320.08 = 1,871.51 : x
  2. Step 2: Convert to fraction form
    3,130.70/4,320.08 = 1,871.51/x
  3. Step 3: Cross multiply
    3,130.70x = 4,320.08 × 1,871.51
  4. Step 4: Simplify right side
    3,130.70x = 8,085,063.56
  5. Step 5: Solve for x
    x = 8,085,063.56/3,130.70
  6. Step 6: Final answer
    x = 2,582.51

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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.