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Finding the Fourth Proportional to 1,753.86, 2,420.34 and 968.04

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Solution

The fourth proportional to 1,753.86, 2,420.34 and 968.04 is: 1,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.86 : 2,420.34 = 968.04 : x
  2. Step 2: Convert to fraction form
    1,753.86/2,420.34 = 968.04/x
  3. Step 3: Cross multiply
    1,753.86x = 2,420.34 × 968.04
  4. Step 4: Simplify right side
    1,753.86x = 2,342,985.93
  5. Step 5: Solve for x
    x = 2,342,985.93/1,753.86
  6. Step 6: Final answer
    x = 1,335.90

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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.