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Finding the Fourth Proportional to 2,063.46, 2,850 and 1,565.28

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Solution

The fourth proportional to 2,063.46, 2,850 and 1,565.28 is: 2,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.46 : 2,850 = 1,565.28 : x
  2. Step 2: Convert to fraction form
    2,063.46/2,850 = 1,565.28/x
  3. Step 3: Cross multiply
    2,063.46x = 2,850 × 1,565.28
  4. Step 4: Simplify right side
    2,063.46x = 4,461,048
  5. Step 5: Solve for x
    x = 4,461,048/2,063.46
  6. Step 6: Final answer
    x = 2,161.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.