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Finding the Fourth Proportional to 2,319, 3,200.12 and 1,324.24

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Solution

The fourth proportional to 2,319, 3,200.12 and 1,324.24 is: 1,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319 : 3,200.12 = 1,324.24 : x
  2. Step 2: Convert to fraction form
    2,319/3,200.12 = 1,324.24/x
  3. Step 3: Cross multiply
    2,319x = 3,200.12 × 1,324.24
  4. Step 4: Simplify right side
    2,319x = 4,237,726.91
  5. Step 5: Solve for x
    x = 4,237,726.91/2,319
  6. Step 6: Final answer
    x = 1,827.39

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Double scale
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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.