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Finding the Fourth Proportional to 2,232.47, 3,349.49 and 999.77

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Solution

The fourth proportional to 2,232.47, 3,349.49 and 999.77 is: 1,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.47 : 3,349.49 = 999.77 : x
  2. Step 2: Convert to fraction form
    2,232.47/3,349.49 = 999.77/x
  3. Step 3: Cross multiply
    2,232.47x = 3,349.49 × 999.77
  4. Step 4: Simplify right side
    2,232.47x = 3,348,719.62
  5. Step 5: Solve for x
    x = 3,348,719.62/2,232.47
  6. Step 6: Final answer
    x = 1,500.01

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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.