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Finding the Fourth Proportional to 2,171.75, 3,253.84 and 1,130.15

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Solution

The fourth proportional to 2,171.75, 3,253.84 and 1,130.15 is: 1,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.75 : 3,253.84 = 1,130.15 : x
  2. Step 2: Convert to fraction form
    2,171.75/3,253.84 = 1,130.15/x
  3. Step 3: Cross multiply
    2,171.75x = 3,253.84 × 1,130.15
  4. Step 4: Simplify right side
    2,171.75x = 3,677,332.59
  5. Step 5: Solve for x
    x = 3,677,332.59/2,171.75
  6. Step 6: Final answer
    x = 1,693.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.