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Finding the Fourth Proportional to 3,463.74, 4,780.08 and 1,971.78

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Solution

The fourth proportional to 3,463.74, 4,780.08 and 1,971.78 is: 2,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.74 : 4,780.08 = 1,971.78 : x
  2. Step 2: Convert to fraction form
    3,463.74/4,780.08 = 1,971.78/x
  3. Step 3: Cross multiply
    3,463.74x = 4,780.08 × 1,971.78
  4. Step 4: Simplify right side
    3,463.74x = 9,425,266.14
  5. Step 5: Solve for x
    x = 9,425,266.14/3,463.74
  6. Step 6: Final answer
    x = 2,721.12

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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.