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Finding the Fourth Proportional to 3,130.09, 4,319.90 and 1,871.13

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Solution

The fourth proportional to 3,130.09, 4,319.90 and 1,871.13 is: 2,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.09 : 4,319.90 = 1,871.13 : x
  2. Step 2: Convert to fraction form
    3,130.09/4,319.90 = 1,871.13/x
  3. Step 3: Cross multiply
    3,130.09x = 4,319.90 × 1,871.13
  4. Step 4: Simplify right side
    3,130.09x = 8,083,108.35
  5. Step 5: Solve for x
    x = 8,083,108.35/3,130.09
  6. Step 6: Final answer
    x = 2,582.39

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Why These Related Problems?

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