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Finding the Fourth Proportional to 1,854.40, 2,559.14 and 1,015.15

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Solution

The fourth proportional to 1,854.40, 2,559.14 and 1,015.15 is: 1,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.40 : 2,559.14 = 1,015.15 : x
  2. Step 2: Convert to fraction form
    1,854.40/2,559.14 = 1,015.15/x
  3. Step 3: Cross multiply
    1,854.40x = 2,559.14 × 1,015.15
  4. Step 4: Simplify right side
    1,854.40x = 2,597,910.97
  5. Step 5: Solve for x
    x = 2,597,910.97/1,854.40
  6. Step 6: Final answer
    x = 1,400.94

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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.