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Finding the Fourth Proportional to 1,693.32, 2,538.23 and 706.66

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Solution

The fourth proportional to 1,693.32, 2,538.23 and 706.66 is: 1,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.32 : 2,538.23 = 706.66 : x
  2. Step 2: Convert to fraction form
    1,693.32/2,538.23 = 706.66/x
  3. Step 3: Cross multiply
    1,693.32x = 2,538.23 × 706.66
  4. Step 4: Simplify right side
    1,693.32x = 1,793,665.61
  5. Step 5: Solve for x
    x = 1,793,665.61/1,693.32
  6. Step 6: Final answer
    x = 1,059.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.