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Finding the Fourth Proportional to 2,468.47, 3,406.49 and 1,420.53

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Solution

The fourth proportional to 2,468.47, 3,406.49 and 1,420.53 is: 1,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.47 : 3,406.49 = 1,420.53 : x
  2. Step 2: Convert to fraction form
    2,468.47/3,406.49 = 1,420.53/x
  3. Step 3: Cross multiply
    2,468.47x = 3,406.49 × 1,420.53
  4. Step 4: Simplify right side
    2,468.47x = 4,839,026.20
  5. Step 5: Solve for x
    x = 4,839,026.20/2,468.47
  6. Step 6: Final answer
    x = 1,960.33

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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.