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Finding the Fourth Proportional to 2,863.84, 4,292.80 and 1,564.96

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Solution

The fourth proportional to 2,863.84, 4,292.80 and 1,564.96 is: 2,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.84 : 4,292.80 = 1,564.96 : x
  2. Step 2: Convert to fraction form
    2,863.84/4,292.80 = 1,564.96/x
  3. Step 3: Cross multiply
    2,863.84x = 4,292.80 × 1,564.96
  4. Step 4: Simplify right side
    2,863.84x = 6,718,060.29
  5. Step 5: Solve for x
    x = 6,718,060.29/2,863.84
  6. Step 6: Final answer
    x = 2,345.82

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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.