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Finding the Fourth Proportional to 2,369.77, 3,265.84 and 1,705.47

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Solution

The fourth proportional to 2,369.77, 3,265.84 and 1,705.47 is: 2,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.77 : 3,265.84 = 1,705.47 : x
  2. Step 2: Convert to fraction form
    2,369.77/3,265.84 = 1,705.47/x
  3. Step 3: Cross multiply
    2,369.77x = 3,265.84 × 1,705.47
  4. Step 4: Simplify right side
    2,369.77x = 5,569,792.14
  5. Step 5: Solve for x
    x = 5,569,792.14/2,369.77
  6. Step 6: Final answer
    x = 2,350.35

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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.