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Finding the Fourth Proportional to 2,017.35, 2,781.72 and 1,643.67

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Solution

The fourth proportional to 2,017.35, 2,781.72 and 1,643.67 is: 2,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.35 : 2,781.72 = 1,643.67 : x
  2. Step 2: Convert to fraction form
    2,017.35/2,781.72 = 1,643.67/x
  3. Step 3: Cross multiply
    2,017.35x = 2,781.72 × 1,643.67
  4. Step 4: Simplify right side
    2,017.35x = 4,572,229.71
  5. Step 5: Solve for x
    x = 4,572,229.71/2,017.35
  6. Step 6: Final answer
    x = 2,266.45

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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.