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Finding the Fourth Proportional to 2,077.98, 3,117.76 and 617.14

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Solution

The fourth proportional to 2,077.98, 3,117.76 and 617.14 is: 925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.98 : 3,117.76 = 617.14 : x
  2. Step 2: Convert to fraction form
    2,077.98/3,117.76 = 617.14/x
  3. Step 3: Cross multiply
    2,077.98x = 3,117.76 × 617.14
  4. Step 4: Simplify right side
    2,077.98x = 1,924,094.41
  5. Step 5: Solve for x
    x = 1,924,094.41/2,077.98
  6. Step 6: Final answer
    x = 925.94

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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.