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Finding the Fourth Proportional to 1,734.10, 2,395.04 and 1,264.10

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Solution

The fourth proportional to 1,734.10, 2,395.04 and 1,264.10 is: 1,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.10 : 2,395.04 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    1,734.10/2,395.04 = 1,264.10/x
  3. Step 3: Cross multiply
    1,734.10x = 2,395.04 × 1,264.10
  4. Step 4: Simplify right side
    1,734.10x = 3,027,570.06
  5. Step 5: Solve for x
    x = 3,027,570.06/1,734.10
  6. Step 6: Final answer
    x = 1,745.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.