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Finding the Fourth Proportional to 2,685, 3,705.32 and 1,566.70

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Solution

The fourth proportional to 2,685, 3,705.32 and 1,566.70 is: 2,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685 : 3,705.32 = 1,566.70 : x
  2. Step 2: Convert to fraction form
    2,685/3,705.32 = 1,566.70/x
  3. Step 3: Cross multiply
    2,685x = 3,705.32 × 1,566.70
  4. Step 4: Simplify right side
    2,685x = 5,805,124.84
  5. Step 5: Solve for x
    x = 5,805,124.84/2,685
  6. Step 6: Final answer
    x = 2,162.06

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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.