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Finding the Fourth Proportional to 2,354.93, 3,531 and 894.18

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Solution

The fourth proportional to 2,354.93, 3,531 and 894.18 is: 1,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.93 : 3,531 = 894.18 : x
  2. Step 2: Convert to fraction form
    2,354.93/3,531 = 894.18/x
  3. Step 3: Cross multiply
    2,354.93x = 3,531 × 894.18
  4. Step 4: Simplify right side
    2,354.93x = 3,157,349.58
  5. Step 5: Solve for x
    x = 3,157,349.58/2,354.93
  6. Step 6: Final answer
    x = 1,340.74

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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.