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Finding the Fourth Proportional to 1,734.02, 2,393.08 and 988.22

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Solution

The fourth proportional to 1,734.02, 2,393.08 and 988.22 is: 1,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.02 : 2,393.08 = 988.22 : x
  2. Step 2: Convert to fraction form
    1,734.02/2,393.08 = 988.22/x
  3. Step 3: Cross multiply
    1,734.02x = 2,393.08 × 988.22
  4. Step 4: Simplify right side
    1,734.02x = 2,364,889.52
  5. Step 5: Solve for x
    x = 2,364,889.52/1,734.02
  6. Step 6: Final answer
    x = 1,363.82

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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.