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Finding the Fourth Proportional to 3,105.32, 4,285.14 and 1,708

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Solution

The fourth proportional to 3,105.32, 4,285.14 and 1,708 is: 2,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.32 : 4,285.14 = 1,708 : x
  2. Step 2: Convert to fraction form
    3,105.32/4,285.14 = 1,708/x
  3. Step 3: Cross multiply
    3,105.32x = 4,285.14 × 1,708
  4. Step 4: Simplify right side
    3,105.32x = 7,319,019.12
  5. Step 5: Solve for x
    x = 7,319,019.12/3,105.32
  6. Step 6: Final answer
    x = 2,356.93

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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.