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Finding the Fourth Proportional to 2,071.12, 3,106.68 and 610.44

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Solution

The fourth proportional to 2,071.12, 3,106.68 and 610.44 is: 915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.12 : 3,106.68 = 610.44 : x
  2. Step 2: Convert to fraction form
    2,071.12/3,106.68 = 610.44/x
  3. Step 3: Cross multiply
    2,071.12x = 3,106.68 × 610.44
  4. Step 4: Simplify right side
    2,071.12x = 1,896,441.74
  5. Step 5: Solve for x
    x = 1,896,441.74/2,071.12
  6. Step 6: Final answer
    x = 915.66

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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.