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Finding the Fourth Proportional to 1,854, 2,557.82 and 1,224.83

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Solution

The fourth proportional to 1,854, 2,557.82 and 1,224.83 is: 1,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854 : 2,557.82 = 1,224.83 : x
  2. Step 2: Convert to fraction form
    1,854/2,557.82 = 1,224.83/x
  3. Step 3: Cross multiply
    1,854x = 2,557.82 × 1,224.83
  4. Step 4: Simplify right side
    1,854x = 3,132,875.76
  5. Step 5: Solve for x
    x = 3,132,875.76/1,854
  6. Step 6: Final answer
    x = 1,689.79

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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.