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Finding the Fourth Proportional to 2,071.26, 3,106.98 and 610.38

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Solution

The fourth proportional to 2,071.26, 3,106.98 and 610.38 is: 915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.26 : 3,106.98 = 610.38 : x
  2. Step 2: Convert to fraction form
    2,071.26/3,106.98 = 610.38/x
  3. Step 3: Cross multiply
    2,071.26x = 3,106.98 × 610.38
  4. Step 4: Simplify right side
    2,071.26x = 1,896,438.45
  5. Step 5: Solve for x
    x = 1,896,438.45/2,071.26
  6. Step 6: Final answer
    x = 915.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.