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Finding the Fourth Proportional to 2,746.31, 3,782.31 and 2,373.17

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Solution

The fourth proportional to 2,746.31, 3,782.31 and 2,373.17 is: 3,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.31 : 3,782.31 = 2,373.17 : x
  2. Step 2: Convert to fraction form
    2,746.31/3,782.31 = 2,373.17/x
  3. Step 3: Cross multiply
    2,746.31x = 3,782.31 × 2,373.17
  4. Step 4: Simplify right side
    2,746.31x = 8,976,064.62
  5. Step 5: Solve for x
    x = 8,976,064.62/2,746.31
  6. Step 6: Final answer
    x = 3,268.41

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1.5x scale

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.