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Finding the Fourth Proportional to 1,753.64, 2,420.07 and 967.64

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Solution

The fourth proportional to 1,753.64, 2,420.07 and 967.64 is: 1,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.64 : 2,420.07 = 967.64 : x
  2. Step 2: Convert to fraction form
    1,753.64/2,420.07 = 967.64/x
  3. Step 3: Cross multiply
    1,753.64x = 2,420.07 × 967.64
  4. Step 4: Simplify right side
    1,753.64x = 2,341,756.53
  5. Step 5: Solve for x
    x = 2,341,756.53/1,753.64
  6. Step 6: Final answer
    x = 1,335.37

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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.