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Finding the Fourth Proportional to 2,347.25, 3,238.99 and 1,352.77

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Solution

The fourth proportional to 2,347.25, 3,238.99 and 1,352.77 is: 1,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.25 : 3,238.99 = 1,352.77 : x
  2. Step 2: Convert to fraction form
    2,347.25/3,238.99 = 1,352.77/x
  3. Step 3: Cross multiply
    2,347.25x = 3,238.99 × 1,352.77
  4. Step 4: Simplify right side
    2,347.25x = 4,381,597.02
  5. Step 5: Solve for x
    x = 4,381,597.02/2,347.25
  6. Step 6: Final answer
    x = 1,866.70

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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.