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Finding the Fourth Proportional to 2,083.55, 2,875.18 and 1,139.16

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Solution

The fourth proportional to 2,083.55, 2,875.18 and 1,139.16 is: 1,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.55 : 2,875.18 = 1,139.16 : x
  2. Step 2: Convert to fraction form
    2,083.55/2,875.18 = 1,139.16/x
  3. Step 3: Cross multiply
    2,083.55x = 2,875.18 × 1,139.16
  4. Step 4: Simplify right side
    2,083.55x = 3,275,296.91
  5. Step 5: Solve for x
    x = 3,275,296.91/2,083.55
  6. Step 6: Final answer
    x = 1,571.98

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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.