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Finding the Fourth Proportional to 2,903.91, 4,007.47 and 1,577.69

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Solution

The fourth proportional to 2,903.91, 4,007.47 and 1,577.69 is: 2,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.91 : 4,007.47 = 1,577.69 : x
  2. Step 2: Convert to fraction form
    2,903.91/4,007.47 = 1,577.69/x
  3. Step 3: Cross multiply
    2,903.91x = 4,007.47 × 1,577.69
  4. Step 4: Simplify right side
    2,903.91x = 6,322,545.34
  5. Step 5: Solve for x
    x = 6,322,545.34/2,903.91
  6. Step 6: Final answer
    x = 2,177.26

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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.