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Finding the Fourth Proportional to 2,903.59, 4,006.99 and 1,577.31

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Solution

The fourth proportional to 2,903.59, 4,006.99 and 1,577.31 is: 2,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.59 : 4,006.99 = 1,577.31 : x
  2. Step 2: Convert to fraction form
    2,903.59/4,006.99 = 1,577.31/x
  3. Step 3: Cross multiply
    2,903.59x = 4,006.99 × 1,577.31
  4. Step 4: Simplify right side
    2,903.59x = 6,320,267.53
  5. Step 5: Solve for x
    x = 6,320,267.53/2,903.59
  6. Step 6: Final answer
    x = 2,176.71

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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.