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Finding the Fourth Proportional to 2,545.94, 3,512.88 and 1,838.86

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Solution

The fourth proportional to 2,545.94, 3,512.88 and 1,838.86 is: 2,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.94 : 3,512.88 = 1,838.86 : x
  2. Step 2: Convert to fraction form
    2,545.94/3,512.88 = 1,838.86/x
  3. Step 3: Cross multiply
    2,545.94x = 3,512.88 × 1,838.86
  4. Step 4: Simplify right side
    2,545.94x = 6,459,685.73
  5. Step 5: Solve for x
    x = 6,459,685.73/2,545.94
  6. Step 6: Final answer
    x = 2,537.25

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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.