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Finding the Fourth Proportional to 1,854.73, 2,558.52 and 1,191.68

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Solution

The fourth proportional to 1,854.73, 2,558.52 and 1,191.68 is: 1,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.73 : 2,558.52 = 1,191.68 : x
  2. Step 2: Convert to fraction form
    1,854.73/2,558.52 = 1,191.68/x
  3. Step 3: Cross multiply
    1,854.73x = 2,558.52 × 1,191.68
  4. Step 4: Simplify right side
    1,854.73x = 3,048,937.11
  5. Step 5: Solve for x
    x = 3,048,937.11/1,854.73
  6. Step 6: Final answer
    x = 1,643.87

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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.