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Finding the Fourth Proportional to 2,283.75, 3,425.64 and 723.72

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Solution

The fourth proportional to 2,283.75, 3,425.64 and 723.72 is: 1,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.75 : 3,425.64 = 723.72 : x
  2. Step 2: Convert to fraction form
    2,283.75/3,425.64 = 723.72/x
  3. Step 3: Cross multiply
    2,283.75x = 3,425.64 × 723.72
  4. Step 4: Simplify right side
    2,283.75x = 2,479,204.18
  5. Step 5: Solve for x
    x = 2,479,204.18/2,283.75
  6. Step 6: Final answer
    x = 1,085.58

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1.5x scale

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.