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Finding the Fourth Proportional to 2,412.48, 3,329.24 and 1,364.48

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Solution

The fourth proportional to 2,412.48, 3,329.24 and 1,364.48 is: 1,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.48 : 3,329.24 = 1,364.48 : x
  2. Step 2: Convert to fraction form
    2,412.48/3,329.24 = 1,364.48/x
  3. Step 3: Cross multiply
    2,412.48x = 3,329.24 × 1,364.48
  4. Step 4: Simplify right side
    2,412.48x = 4,542,681.40
  5. Step 5: Solve for x
    x = 4,542,681.40/2,412.48
  6. Step 6: Final answer
    x = 1,882.99

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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.