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Finding the Fourth Proportional to 1,332.50, 1,999.56 and 1,251.50

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Solution

The fourth proportional to 1,332.50, 1,999.56 and 1,251.50 is: 1,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.50 : 1,999.56 = 1,251.50 : x
  2. Step 2: Convert to fraction form
    1,332.50/1,999.56 = 1,251.50/x
  3. Step 3: Cross multiply
    1,332.50x = 1,999.56 × 1,251.50
  4. Step 4: Simplify right side
    1,332.50x = 2,502,449.34
  5. Step 5: Solve for x
    x = 2,502,449.34/1,332.50
  6. Step 6: Final answer
    x = 1,878.01

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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.