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Finding the Fourth Proportional to 2,894.32, 4,331.68 and 1,740.88

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Solution

The fourth proportional to 2,894.32, 4,331.68 and 1,740.88 is: 2,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.32 : 4,331.68 = 1,740.88 : x
  2. Step 2: Convert to fraction form
    2,894.32/4,331.68 = 1,740.88/x
  3. Step 3: Cross multiply
    2,894.32x = 4,331.68 × 1,740.88
  4. Step 4: Simplify right side
    2,894.32x = 7,540,935.08
  5. Step 5: Solve for x
    x = 7,540,935.08/2,894.32
  6. Step 6: Final answer
    x = 2,605.43

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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.