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Finding the Fourth Proportional to 2,657.61, 3,671.66 and 2,030.33

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Solution

The fourth proportional to 2,657.61, 3,671.66 and 2,030.33 is: 2,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.61 : 3,671.66 = 2,030.33 : x
  2. Step 2: Convert to fraction form
    2,657.61/3,671.66 = 2,030.33/x
  3. Step 3: Cross multiply
    2,657.61x = 3,671.66 × 2,030.33
  4. Step 4: Simplify right side
    2,657.61x = 7,454,695.70
  5. Step 5: Solve for x
    x = 7,454,695.70/2,657.61
  6. Step 6: Final answer
    x = 2,805.04

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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.