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Finding the Fourth Proportional to 1,735.26, 2,394.70 and 1,071.88

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Solution

The fourth proportional to 1,735.26, 2,394.70 and 1,071.88 is: 1,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.26 : 2,394.70 = 1,071.88 : x
  2. Step 2: Convert to fraction form
    1,735.26/2,394.70 = 1,071.88/x
  3. Step 3: Cross multiply
    1,735.26x = 2,394.70 × 1,071.88
  4. Step 4: Simplify right side
    1,735.26x = 2,566,831.04
  5. Step 5: Solve for x
    x = 2,566,831.04/1,735.26
  6. Step 6: Final answer
    x = 1,479.22

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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.