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Finding the Fourth Proportional to 1,685.70, 2,325.78 and 1,023.12

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Solution

The fourth proportional to 1,685.70, 2,325.78 and 1,023.12 is: 1,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.70 : 2,325.78 = 1,023.12 : x
  2. Step 2: Convert to fraction form
    1,685.70/2,325.78 = 1,023.12/x
  3. Step 3: Cross multiply
    1,685.70x = 2,325.78 × 1,023.12
  4. Step 4: Simplify right side
    1,685.70x = 2,379,552.03
  5. Step 5: Solve for x
    x = 2,379,552.03/1,685.70
  6. Step 6: Final answer
    x = 1,411.61

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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.