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Finding the Fourth Proportional to 2,071.38, 3,106.14 and 610.02

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Solution

The fourth proportional to 2,071.38, 3,106.14 and 610.02 is: 914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.38 : 3,106.14 = 610.02 : x
  2. Step 2: Convert to fraction form
    2,071.38/3,106.14 = 610.02/x
  3. Step 3: Cross multiply
    2,071.38x = 3,106.14 × 610.02
  4. Step 4: Simplify right side
    2,071.38x = 1,894,807.52
  5. Step 5: Solve for x
    x = 1,894,807.52/2,071.38
  6. Step 6: Final answer
    x = 914.76

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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.