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Finding the Fourth Proportional to 2,483, 3,432.94 and 2,374.20

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Solution

The fourth proportional to 2,483, 3,432.94 and 2,374.20 is: 3,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483 : 3,432.94 = 2,374.20 : x
  2. Step 2: Convert to fraction form
    2,483/3,432.94 = 2,374.20/x
  3. Step 3: Cross multiply
    2,483x = 3,432.94 × 2,374.20
  4. Step 4: Simplify right side
    2,483x = 8,150,486.15
  5. Step 5: Solve for x
    x = 8,150,486.15/2,483
  6. Step 6: Final answer
    x = 3,282.52

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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.