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Finding the Fourth Proportional to 1,689.85, 2,530.72 and 994.87

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Solution

The fourth proportional to 1,689.85, 2,530.72 and 994.87 is: 1,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.85 : 2,530.72 = 994.87 : x
  2. Step 2: Convert to fraction form
    1,689.85/2,530.72 = 994.87/x
  3. Step 3: Cross multiply
    1,689.85x = 2,530.72 × 994.87
  4. Step 4: Simplify right side
    1,689.85x = 2,517,737.41
  5. Step 5: Solve for x
    x = 2,517,737.41/1,689.85
  6. Step 6: Final answer
    x = 1,489.92

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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.