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Finding the Fourth Proportional to 2,275.50, 3,412.33 and 888.64

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Solution

The fourth proportional to 2,275.50, 3,412.33 and 888.64 is: 1,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.50 : 3,412.33 = 888.64 : x
  2. Step 2: Convert to fraction form
    2,275.50/3,412.33 = 888.64/x
  3. Step 3: Cross multiply
    2,275.50x = 3,412.33 × 888.64
  4. Step 4: Simplify right side
    2,275.50x = 3,032,332.93
  5. Step 5: Solve for x
    x = 3,032,332.93/2,275.50
  6. Step 6: Final answer
    x = 1,332.60

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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.