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Finding the Fourth Proportional to 2,097.47, 3,127.91 and 1,861.46

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Solution

The fourth proportional to 2,097.47, 3,127.91 and 1,861.46 is: 2,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.47 : 3,127.91 = 1,861.46 : x
  2. Step 2: Convert to fraction form
    2,097.47/3,127.91 = 1,861.46/x
  3. Step 3: Cross multiply
    2,097.47x = 3,127.91 × 1,861.46
  4. Step 4: Simplify right side
    2,097.47x = 5,822,479.35
  5. Step 5: Solve for x
    x = 5,822,479.35/2,097.47
  6. Step 6: Final answer
    x = 2,775.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.