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Finding the Fourth Proportional to 1,853.54, 2,557.96 and 1,154.78

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Solution

The fourth proportional to 1,853.54, 2,557.96 and 1,154.78 is: 1,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.54 : 2,557.96 = 1,154.78 : x
  2. Step 2: Convert to fraction form
    1,853.54/2,557.96 = 1,154.78/x
  3. Step 3: Cross multiply
    1,853.54x = 2,557.96 × 1,154.78
  4. Step 4: Simplify right side
    1,853.54x = 2,953,881.05
  5. Step 5: Solve for x
    x = 2,953,881.05/1,853.54
  6. Step 6: Final answer
    x = 1,593.64

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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.