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Finding the Fourth Proportional to 3,071.78, 4,607.55 and 1,340.38

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Solution

The fourth proportional to 3,071.78, 4,607.55 and 1,340.38 is: 2,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.78 : 4,607.55 = 1,340.38 : x
  2. Step 2: Convert to fraction form
    3,071.78/4,607.55 = 1,340.38/x
  3. Step 3: Cross multiply
    3,071.78x = 4,607.55 × 1,340.38
  4. Step 4: Simplify right side
    3,071.78x = 6,175,867.87
  5. Step 5: Solve for x
    x = 6,175,867.87/3,071.78
  6. Step 6: Final answer
    x = 2,010.52

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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.