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Finding the Fourth Proportional to 2,129.95, 3,188.07 and 1,140.28

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Solution

The fourth proportional to 2,129.95, 3,188.07 and 1,140.28 is: 1,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.95 : 3,188.07 = 1,140.28 : x
  2. Step 2: Convert to fraction form
    2,129.95/3,188.07 = 1,140.28/x
  3. Step 3: Cross multiply
    2,129.95x = 3,188.07 × 1,140.28
  4. Step 4: Simplify right side
    2,129.95x = 3,635,292.46
  5. Step 5: Solve for x
    x = 3,635,292.46/2,129.95
  6. Step 6: Final answer
    x = 1,706.75

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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.