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Finding the Fourth Proportional to 2,894.87, 4,341.90 and 1,045.73

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Solution

The fourth proportional to 2,894.87, 4,341.90 and 1,045.73 is: 1,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.87 : 4,341.90 = 1,045.73 : x
  2. Step 2: Convert to fraction form
    2,894.87/4,341.90 = 1,045.73/x
  3. Step 3: Cross multiply
    2,894.87x = 4,341.90 × 1,045.73
  4. Step 4: Simplify right side
    2,894.87x = 4,540,455.09
  5. Step 5: Solve for x
    x = 4,540,455.09/2,894.87
  6. Step 6: Final answer
    x = 1,568.45

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Why These Related Problems?

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