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Finding the Fourth Proportional to 2,084.70, 3,126.24 and 785.46

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Solution

The fourth proportional to 2,084.70, 3,126.24 and 785.46 is: 1,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.70 : 3,126.24 = 785.46 : x
  2. Step 2: Convert to fraction form
    2,084.70/3,126.24 = 785.46/x
  3. Step 3: Cross multiply
    2,084.70x = 3,126.24 × 785.46
  4. Step 4: Simplify right side
    2,084.70x = 2,455,536.47
  5. Step 5: Solve for x
    x = 2,455,536.47/2,084.70
  6. Step 6: Final answer
    x = 1,177.88

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