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Finding the Fourth Proportional to 1,753.91, 2,420.40 and 967.95

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Solution

The fourth proportional to 1,753.91, 2,420.40 and 967.95 is: 1,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.91 : 2,420.40 = 967.95 : x
  2. Step 2: Convert to fraction form
    1,753.91/2,420.40 = 967.95/x
  3. Step 3: Cross multiply
    1,753.91x = 2,420.40 × 967.95
  4. Step 4: Simplify right side
    1,753.91x = 2,342,826.18
  5. Step 5: Solve for x
    x = 2,342,826.18/1,753.91
  6. Step 6: Final answer
    x = 1,335.78

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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.