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Finding the Fourth Proportional to 2,783.77, 3,832.86 and 2,363.29

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Solution

The fourth proportional to 2,783.77, 3,832.86 and 2,363.29 is: 3,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.77 : 3,832.86 = 2,363.29 : x
  2. Step 2: Convert to fraction form
    2,783.77/3,832.86 = 2,363.29/x
  3. Step 3: Cross multiply
    2,783.77x = 3,832.86 × 2,363.29
  4. Step 4: Simplify right side
    2,783.77x = 9,058,159.71
  5. Step 5: Solve for x
    x = 9,058,159.71/2,783.77
  6. Step 6: Final answer
    x = 3,253.92

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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.