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Finding the Fourth Proportional to 3,130.09, 4,319 and 1,871.66

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Solution

The fourth proportional to 3,130.09, 4,319 and 1,871.66 is: 2,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.09 : 4,319 = 1,871.66 : x
  2. Step 2: Convert to fraction form
    3,130.09/4,319 = 1,871.66/x
  3. Step 3: Cross multiply
    3,130.09x = 4,319 × 1,871.66
  4. Step 4: Simplify right side
    3,130.09x = 8,083,699.54
  5. Step 5: Solve for x
    x = 8,083,699.54/3,130.09
  6. Step 6: Final answer
    x = 2,582.58

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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.