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Finding the Fourth Proportional to 2,903.56, 4,006.94 and 1,577.28

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Solution

The fourth proportional to 2,903.56, 4,006.94 and 1,577.28 is: 2,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.56 : 4,006.94 = 1,577.28 : x
  2. Step 2: Convert to fraction form
    2,903.56/4,006.94 = 1,577.28/x
  3. Step 3: Cross multiply
    2,903.56x = 4,006.94 × 1,577.28
  4. Step 4: Simplify right side
    2,903.56x = 6,320,070.27
  5. Step 5: Solve for x
    x = 6,320,070.27/2,903.56
  6. Step 6: Final answer
    x = 2,176.66

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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.