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Finding the Fourth Proportional to 1,854.56, 2,779.25 and 1,230.59

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Solution

The fourth proportional to 1,854.56, 2,779.25 and 1,230.59 is: 1,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.56 : 2,779.25 = 1,230.59 : x
  2. Step 2: Convert to fraction form
    1,854.56/2,779.25 = 1,230.59/x
  3. Step 3: Cross multiply
    1,854.56x = 2,779.25 × 1,230.59
  4. Step 4: Simplify right side
    1,854.56x = 3,420,111.10
  5. Step 5: Solve for x
    x = 3,420,111.10/1,854.56
  6. Step 6: Final answer
    x = 1,844.16

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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.