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Finding the Fourth Proportional to 2,703.12, 3,730.80 and 2,260.32

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Solution

The fourth proportional to 2,703.12, 3,730.80 and 2,260.32 is: 3,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.12 : 3,730.80 = 2,260.32 : x
  2. Step 2: Convert to fraction form
    2,703.12/3,730.80 = 2,260.32/x
  3. Step 3: Cross multiply
    2,703.12x = 3,730.80 × 2,260.32
  4. Step 4: Simplify right side
    2,703.12x = 8,432,801.86
  5. Step 5: Solve for x
    x = 8,432,801.86/2,703.12
  6. Step 6: Final answer
    x = 3,119.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.