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Finding the Fourth Proportional to 2,894.82, 4,338.03 and 1,577.46

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Solution

The fourth proportional to 2,894.82, 4,338.03 and 1,577.46 is: 2,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.82 : 4,338.03 = 1,577.46 : x
  2. Step 2: Convert to fraction form
    2,894.82/4,338.03 = 1,577.46/x
  3. Step 3: Cross multiply
    2,894.82x = 4,338.03 × 1,577.46
  4. Step 4: Simplify right side
    2,894.82x = 6,843,068.80
  5. Step 5: Solve for x
    x = 6,843,068.80/2,894.82
  6. Step 6: Final answer
    x = 2,363.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.