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Finding the Fourth Proportional to 2,903.76, 4,007.20 and 1,577.44

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Solution

The fourth proportional to 2,903.76, 4,007.20 and 1,577.44 is: 2,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.76 : 4,007.20 = 1,577.44 : x
  2. Step 2: Convert to fraction form
    2,903.76/4,007.20 = 1,577.44/x
  3. Step 3: Cross multiply
    2,903.76x = 4,007.20 × 1,577.44
  4. Step 4: Simplify right side
    2,903.76x = 6,321,117.57
  5. Step 5: Solve for x
    x = 6,321,117.57/2,903.76
  6. Step 6: Final answer
    x = 2,176.87

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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.