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Finding the Fourth Proportional to 2,807.60, 4,230.40 and 2,331.32

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Solution

The fourth proportional to 2,807.60, 4,230.40 and 2,331.32 is: 3,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.60 : 4,230.40 = 2,331.32 : x
  2. Step 2: Convert to fraction form
    2,807.60/4,230.40 = 2,331.32/x
  3. Step 3: Cross multiply
    2,807.60x = 4,230.40 × 2,331.32
  4. Step 4: Simplify right side
    2,807.60x = 9,862,416.13
  5. Step 5: Solve for x
    x = 9,862,416.13/2,807.60
  6. Step 6: Final answer
    x = 3,512.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.