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Finding the Fourth Proportional to 2,894.25, 4,338.78 and 1,044.93

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Solution

The fourth proportional to 2,894.25, 4,338.78 and 1,044.93 is: 1,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.25 : 4,338.78 = 1,044.93 : x
  2. Step 2: Convert to fraction form
    2,894.25/4,338.78 = 1,044.93/x
  3. Step 3: Cross multiply
    2,894.25x = 4,338.78 × 1,044.93
  4. Step 4: Simplify right side
    2,894.25x = 4,533,737.66
  5. Step 5: Solve for x
    x = 4,533,737.66/2,894.25
  6. Step 6: Final answer
    x = 1,566.46

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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.