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Finding the Fourth Proportional to 1,854.88, 2,559.28 and 1,109.08

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Solution

The fourth proportional to 1,854.88, 2,559.28 and 1,109.08 is: 1,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.88 : 2,559.28 = 1,109.08 : x
  2. Step 2: Convert to fraction form
    1,854.88/2,559.28 = 1,109.08/x
  3. Step 3: Cross multiply
    1,854.88x = 2,559.28 × 1,109.08
  4. Step 4: Simplify right side
    1,854.88x = 2,838,446.26
  5. Step 5: Solve for x
    x = 2,838,446.26/1,854.88
  6. Step 6: Final answer
    x = 1,530.26

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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.