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Finding the Fourth Proportional to 3,463.98, 4,780.16 and 1,892.07

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Solution

The fourth proportional to 3,463.98, 4,780.16 and 1,892.07 is: 2,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 4,780.16 = 1,892.07 : x
  2. Step 2: Convert to fraction form
    3,463.98/4,780.16 = 1,892.07/x
  3. Step 3: Cross multiply
    3,463.98x = 4,780.16 × 1,892.07
  4. Step 4: Simplify right side
    3,463.98x = 9,044,387.87
  5. Step 5: Solve for x
    x = 9,044,387.87/3,463.98
  6. Step 6: Final answer
    x = 2,610.98

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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.