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Finding the Fourth Proportional to 2,357.01, 3,252.56 and 1,309.05

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Solution

The fourth proportional to 2,357.01, 3,252.56 and 1,309.05 is: 1,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.01 : 3,252.56 = 1,309.05 : x
  2. Step 2: Convert to fraction form
    2,357.01/3,252.56 = 1,309.05/x
  3. Step 3: Cross multiply
    2,357.01x = 3,252.56 × 1,309.05
  4. Step 4: Simplify right side
    2,357.01x = 4,257,757.12
  5. Step 5: Solve for x
    x = 4,257,757.12/2,357.01
  6. Step 6: Final answer
    x = 1,806.42

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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.