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Finding the Fourth Proportional to 3,460.68, 4,774.56 and 2,134.68

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Solution

The fourth proportional to 3,460.68, 4,774.56 and 2,134.68 is: 2,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.68 : 4,774.56 = 2,134.68 : x
  2. Step 2: Convert to fraction form
    3,460.68/4,774.56 = 2,134.68/x
  3. Step 3: Cross multiply
    3,460.68x = 4,774.56 × 2,134.68
  4. Step 4: Simplify right side
    3,460.68x = 10,192,157.74
  5. Step 5: Solve for x
    x = 10,192,157.74/3,460.68
  6. Step 6: Final answer
    x = 2,945.13

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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.