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Finding the Fourth Proportional to 1,693.93, 2,337.40 and 1,105.26

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Solution

The fourth proportional to 1,693.93, 2,337.40 and 1,105.26 is: 1,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.93 : 2,337.40 = 1,105.26 : x
  2. Step 2: Convert to fraction form
    1,693.93/2,337.40 = 1,105.26/x
  3. Step 3: Cross multiply
    1,693.93x = 2,337.40 × 1,105.26
  4. Step 4: Simplify right side
    1,693.93x = 2,583,434.72
  5. Step 5: Solve for x
    x = 2,583,434.72/1,693.93
  6. Step 6: Final answer
    x = 1,525.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.