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Finding the Fourth Proportional to 2,878.57, 3,972.45 and 1,700.23

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Solution

The fourth proportional to 2,878.57, 3,972.45 and 1,700.23 is: 2,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.57 : 3,972.45 = 1,700.23 : x
  2. Step 2: Convert to fraction form
    2,878.57/3,972.45 = 1,700.23/x
  3. Step 3: Cross multiply
    2,878.57x = 3,972.45 × 1,700.23
  4. Step 4: Simplify right side
    2,878.57x = 6,754,078.66
  5. Step 5: Solve for x
    x = 6,754,078.66/2,878.57
  6. Step 6: Final answer
    x = 2,346.33

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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.