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Finding the Fourth Proportional to 2,186.40, 3,280.14 and 1,538.40

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Solution

The fourth proportional to 2,186.40, 3,280.14 and 1,538.40 is: 2,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.40 : 3,280.14 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    2,186.40/3,280.14 = 1,538.40/x
  3. Step 3: Cross multiply
    2,186.40x = 3,280.14 × 1,538.40
  4. Step 4: Simplify right side
    2,186.40x = 5,046,167.38
  5. Step 5: Solve for x
    x = 5,046,167.38/2,186.40
  6. Step 6: Final answer
    x = 2,307.98

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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.