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Finding the Fourth Proportional to 2,349.46, 3,523.89 and 888.42

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Solution

The fourth proportional to 2,349.46, 3,523.89 and 888.42 is: 1,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.46 : 3,523.89 = 888.42 : x
  2. Step 2: Convert to fraction form
    2,349.46/3,523.89 = 888.42/x
  3. Step 3: Cross multiply
    2,349.46x = 3,523.89 × 888.42
  4. Step 4: Simplify right side
    2,349.46x = 3,130,704.24
  5. Step 5: Solve for x
    x = 3,130,704.24/2,349.46
  6. Step 6: Final answer
    x = 1,332.52

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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.