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Finding the Fourth Proportional to 3,115.40, 4,298.36 and 1,855.40

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Solution

The fourth proportional to 3,115.40, 4,298.36 and 1,855.40 is: 2,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.40 : 4,298.36 = 1,855.40 : x
  2. Step 2: Convert to fraction form
    3,115.40/4,298.36 = 1,855.40/x
  3. Step 3: Cross multiply
    3,115.40x = 4,298.36 × 1,855.40
  4. Step 4: Simplify right side
    3,115.40x = 7,975,177.14
  5. Step 5: Solve for x
    x = 7,975,177.14/3,115.40
  6. Step 6: Final answer
    x = 2,559.92

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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.