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Finding the Fourth Proportional to 2,332.04, 3,497.94 and 871.08

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Solution

The fourth proportional to 2,332.04, 3,497.94 and 871.08 is: 1,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.04 : 3,497.94 = 871.08 : x
  2. Step 2: Convert to fraction form
    2,332.04/3,497.94 = 871.08/x
  3. Step 3: Cross multiply
    2,332.04x = 3,497.94 × 871.08
  4. Step 4: Simplify right side
    2,332.04x = 3,046,985.58
  5. Step 5: Solve for x
    x = 3,046,985.58/2,332.04
  6. Step 6: Final answer
    x = 1,306.58

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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.