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Finding the Fourth Proportional to 1,247.96, 1,722.93 and 1,109.58

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Solution

The fourth proportional to 1,247.96, 1,722.93 and 1,109.58 is: 1,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.96 : 1,722.93 = 1,109.58 : x
  2. Step 2: Convert to fraction form
    1,247.96/1,722.93 = 1,109.58/x
  3. Step 3: Cross multiply
    1,247.96x = 1,722.93 × 1,109.58
  4. Step 4: Simplify right side
    1,247.96x = 1,911,714.51
  5. Step 5: Solve for x
    x = 1,911,714.51/1,247.96
  6. Step 6: Final answer
    x = 1,531.87

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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.