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Finding the Fourth Proportional to 3,078.50, 4,248.36 and 1,681.25

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Solution

The fourth proportional to 3,078.50, 4,248.36 and 1,681.25 is: 2,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.50 : 4,248.36 = 1,681.25 : x
  2. Step 2: Convert to fraction form
    3,078.50/4,248.36 = 1,681.25/x
  3. Step 3: Cross multiply
    3,078.50x = 4,248.36 × 1,681.25
  4. Step 4: Simplify right side
    3,078.50x = 7,142,546.84
  5. Step 5: Solve for x
    x = 7,142,546.84/3,078.50
  6. Step 6: Final answer
    x = 2,320.14

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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.