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Finding the Fourth Proportional to 1,487.83, 2,226.90 and 1,097.68

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Solution

The fourth proportional to 1,487.83, 2,226.90 and 1,097.68 is: 1,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.83 : 2,226.90 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,487.83/2,226.90 = 1,097.68/x
  3. Step 3: Cross multiply
    1,487.83x = 2,226.90 × 1,097.68
  4. Step 4: Simplify right side
    1,487.83x = 2,444,423.59
  5. Step 5: Solve for x
    x = 2,444,423.59/1,487.83
  6. Step 6: Final answer
    x = 1,642.95

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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.