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Finding the Fourth Proportional to 1,742.28, 2,612.88 and 703.04

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Solution

The fourth proportional to 1,742.28, 2,612.88 and 703.04 is: 1,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.28 : 2,612.88 = 703.04 : x
  2. Step 2: Convert to fraction form
    1,742.28/2,612.88 = 703.04/x
  3. Step 3: Cross multiply
    1,742.28x = 2,612.88 × 703.04
  4. Step 4: Simplify right side
    1,742.28x = 1,836,959.16
  5. Step 5: Solve for x
    x = 1,836,959.16/1,742.28
  6. Step 6: Final answer
    x = 1,054.34

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