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Finding the Fourth Proportional to 1,872.86, 2,585.12 and 1,283.58

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Solution

The fourth proportional to 1,872.86, 2,585.12 and 1,283.58 is: 1,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.86 : 2,585.12 = 1,283.58 : x
  2. Step 2: Convert to fraction form
    1,872.86/2,585.12 = 1,283.58/x
  3. Step 3: Cross multiply
    1,872.86x = 2,585.12 × 1,283.58
  4. Step 4: Simplify right side
    1,872.86x = 3,318,201.91
  5. Step 5: Solve for x
    x = 3,318,201.91/1,872.86
  6. Step 6: Final answer
    x = 1,771.73

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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.