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Finding the Fourth Proportional to 3,072.84, 4,607.90 and 881.07

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Solution

The fourth proportional to 3,072.84, 4,607.90 and 881.07 is: 1,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.84 : 4,607.90 = 881.07 : x
  2. Step 2: Convert to fraction form
    3,072.84/4,607.90 = 881.07/x
  3. Step 3: Cross multiply
    3,072.84x = 4,607.90 × 881.07
  4. Step 4: Simplify right side
    3,072.84x = 4,059,882.45
  5. Step 5: Solve for x
    x = 4,059,882.45/3,072.84
  6. Step 6: Final answer
    x = 1,321.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.