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Finding the Fourth Proportional to 2,556.32, 3,827.04 and 1,909.76

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Solution

The fourth proportional to 2,556.32, 3,827.04 and 1,909.76 is: 2,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.32 : 3,827.04 = 1,909.76 : x
  2. Step 2: Convert to fraction form
    2,556.32/3,827.04 = 1,909.76/x
  3. Step 3: Cross multiply
    2,556.32x = 3,827.04 × 1,909.76
  4. Step 4: Simplify right side
    2,556.32x = 7,308,727.91
  5. Step 5: Solve for x
    x = 7,308,727.91/2,556.32
  6. Step 6: Final answer
    x = 2,859.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.