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Finding the Fourth Proportional to 2,210.70, 3,050.62 and 1,266.50

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Solution

The fourth proportional to 2,210.70, 3,050.62 and 1,266.50 is: 1,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.70 : 3,050.62 = 1,266.50 : x
  2. Step 2: Convert to fraction form
    2,210.70/3,050.62 = 1,266.50/x
  3. Step 3: Cross multiply
    2,210.70x = 3,050.62 × 1,266.50
  4. Step 4: Simplify right side
    2,210.70x = 3,863,591.81
  5. Step 5: Solve for x
    x = 3,863,591.81/2,210.70
  6. Step 6: Final answer
    x = 1,747.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.