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Finding the Fourth Proportional to 1,616.46, 2,230.14 and 986.58

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Solution

The fourth proportional to 1,616.46, 2,230.14 and 986.58 is: 1,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.46 : 2,230.14 = 986.58 : x
  2. Step 2: Convert to fraction form
    1,616.46/2,230.14 = 986.58/x
  3. Step 3: Cross multiply
    1,616.46x = 2,230.14 × 986.58
  4. Step 4: Simplify right side
    1,616.46x = 2,200,211.52
  5. Step 5: Solve for x
    x = 2,200,211.52/1,616.46
  6. Step 6: Final answer
    x = 1,361.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.