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Finding the Fourth Proportional to 1,693.29, 2,339.07 and 1,536.10

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Solution

The fourth proportional to 1,693.29, 2,339.07 and 1,536.10 is: 2,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.29 : 2,339.07 = 1,536.10 : x
  2. Step 2: Convert to fraction form
    1,693.29/2,339.07 = 1,536.10/x
  3. Step 3: Cross multiply
    1,693.29x = 2,339.07 × 1,536.10
  4. Step 4: Simplify right side
    1,693.29x = 3,593,055.62
  5. Step 5: Solve for x
    x = 3,593,055.62/1,693.29
  6. Step 6: Final answer
    x = 2,121.93

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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.