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Finding the Fourth Proportional to 2,720.32, 3,748 and 1,923.36

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Solution

The fourth proportional to 2,720.32, 3,748 and 1,923.36 is: 2,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.32 : 3,748 = 1,923.36 : x
  2. Step 2: Convert to fraction form
    2,720.32/3,748 = 1,923.36/x
  3. Step 3: Cross multiply
    2,720.32x = 3,748 × 1,923.36
  4. Step 4: Simplify right side
    2,720.32x = 7,208,753.28
  5. Step 5: Solve for x
    x = 7,208,753.28/2,720.32
  6. Step 6: Final answer
    x = 2,649.97

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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.