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Finding the Fourth Proportional to 1,585.53, 2,187.72 and 996.90

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Solution

The fourth proportional to 1,585.53, 2,187.72 and 996.90 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.53 : 2,187.72 = 996.90 : x
  2. Step 2: Convert to fraction form
    1,585.53/2,187.72 = 996.90/x
  3. Step 3: Cross multiply
    1,585.53x = 2,187.72 × 996.90
  4. Step 4: Simplify right side
    1,585.53x = 2,180,938.07
  5. Step 5: Solve for x
    x = 2,180,938.07/1,585.53
  6. Step 6: Final answer
    x = 1,375.53

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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.