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Finding the Fourth Proportional to 2,903.88, 4,007.34 and 1,577.58

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Solution

The fourth proportional to 2,903.88, 4,007.34 and 1,577.58 is: 2,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.88 : 4,007.34 = 1,577.58 : x
  2. Step 2: Convert to fraction form
    2,903.88/4,007.34 = 1,577.58/x
  3. Step 3: Cross multiply
    2,903.88x = 4,007.34 × 1,577.58
  4. Step 4: Simplify right side
    2,903.88x = 6,321,899.44
  5. Step 5: Solve for x
    x = 6,321,899.44/2,903.88
  6. Step 6: Final answer
    x = 2,177.05

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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.