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Finding the Fourth Proportional to 2,894.84, 4,342.04 and 1,045.96

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Solution

The fourth proportional to 2,894.84, 4,342.04 and 1,045.96 is: 1,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.84 : 4,342.04 = 1,045.96 : x
  2. Step 2: Convert to fraction form
    2,894.84/4,342.04 = 1,045.96/x
  3. Step 3: Cross multiply
    2,894.84x = 4,342.04 × 1,045.96
  4. Step 4: Simplify right side
    2,894.84x = 4,541,600.16
  5. Step 5: Solve for x
    x = 4,541,600.16/2,894.84
  6. Step 6: Final answer
    x = 1,568.86

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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.