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Finding the Fourth Proportional to 2,783.52, 3,832.52 and 2,363

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Solution

The fourth proportional to 2,783.52, 3,832.52 and 2,363 is: 3,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.52 : 3,832.52 = 2,363 : x
  2. Step 2: Convert to fraction form
    2,783.52/3,832.52 = 2,363/x
  3. Step 3: Cross multiply
    2,783.52x = 3,832.52 × 2,363
  4. Step 4: Simplify right side
    2,783.52x = 9,056,232.95
  5. Step 5: Solve for x
    x = 9,056,232.95/2,783.52
  6. Step 6: Final answer
    x = 3,253.52

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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.