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Finding the Fourth Proportional to 2,077.55, 3,116.83 and 690.88

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Solution

The fourth proportional to 2,077.55, 3,116.83 and 690.88 is: 1,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.55 : 3,116.83 = 690.88 : x
  2. Step 2: Convert to fraction form
    2,077.55/3,116.83 = 690.88/x
  3. Step 3: Cross multiply
    2,077.55x = 3,116.83 × 690.88
  4. Step 4: Simplify right side
    2,077.55x = 2,153,353.13
  5. Step 5: Solve for x
    x = 2,153,353.13/2,077.55
  6. Step 6: Final answer
    x = 1,036.49

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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.