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Finding the Fourth Proportional to 3,458.48, 4,773.20 and 1,966.10

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Solution

The fourth proportional to 3,458.48, 4,773.20 and 1,966.10 is: 2,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.48 : 4,773.20 = 1,966.10 : x
  2. Step 2: Convert to fraction form
    3,458.48/4,773.20 = 1,966.10/x
  3. Step 3: Cross multiply
    3,458.48x = 4,773.20 × 1,966.10
  4. Step 4: Simplify right side
    3,458.48x = 9,384,588.52
  5. Step 5: Solve for x
    x = 9,384,588.52/3,458.48
  6. Step 6: Final answer
    x = 2,713.50

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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.