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Finding the Fourth Proportional to 2,468.02, 3,406.02 and 1,420.12

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Solution

The fourth proportional to 2,468.02, 3,406.02 and 1,420.12 is: 1,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.02 : 3,406.02 = 1,420.12 : x
  2. Step 2: Convert to fraction form
    2,468.02/3,406.02 = 1,420.12/x
  3. Step 3: Cross multiply
    2,468.02x = 3,406.02 × 1,420.12
  4. Step 4: Simplify right side
    2,468.02x = 4,836,957.12
  5. Step 5: Solve for x
    x = 4,836,957.12/2,468.02
  6. Step 6: Final answer
    x = 1,959.85

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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.