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Finding the Fourth Proportional to 2,266.14, 3,406.90 and 1,785

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Solution

The fourth proportional to 2,266.14, 3,406.90 and 1,785 is: 2,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.14 : 3,406.90 = 1,785 : x
  2. Step 2: Convert to fraction form
    2,266.14/3,406.90 = 1,785/x
  3. Step 3: Cross multiply
    2,266.14x = 3,406.90 × 1,785
  4. Step 4: Simplify right side
    2,266.14x = 6,081,316.50
  5. Step 5: Solve for x
    x = 6,081,316.50/2,266.14
  6. Step 6: Final answer
    x = 2,683.56

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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.