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Finding the Fourth Proportional to 1,734.08, 2,393 and 948.12

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Solution

The fourth proportional to 1,734.08, 2,393 and 948.12 is: 1,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.08 : 2,393 = 948.12 : x
  2. Step 2: Convert to fraction form
    1,734.08/2,393 = 948.12/x
  3. Step 3: Cross multiply
    1,734.08x = 2,393 × 948.12
  4. Step 4: Simplify right side
    1,734.08x = 2,268,851.16
  5. Step 5: Solve for x
    x = 2,268,851.16/1,734.08
  6. Step 6: Final answer
    x = 1,308.39

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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.