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Finding the Fourth Proportional to 2,283.52, 3,148.80 and 2,235.52

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Solution

The fourth proportional to 2,283.52, 3,148.80 and 2,235.52 is: 3,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.52 : 3,148.80 = 2,235.52 : x
  2. Step 2: Convert to fraction form
    2,283.52/3,148.80 = 2,235.52/x
  3. Step 3: Cross multiply
    2,283.52x = 3,148.80 × 2,235.52
  4. Step 4: Simplify right side
    2,283.52x = 7,039,205.38
  5. Step 5: Solve for x
    x = 7,039,205.38/2,283.52
  6. Step 6: Final answer
    x = 3,082.61

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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.