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Finding the Fourth Proportional to 2,064.08, 2,850.90 and 1,317.80

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Solution

The fourth proportional to 2,064.08, 2,850.90 and 1,317.80 is: 1,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.08 : 2,850.90 = 1,317.80 : x
  2. Step 2: Convert to fraction form
    2,064.08/2,850.90 = 1,317.80/x
  3. Step 3: Cross multiply
    2,064.08x = 2,850.90 × 1,317.80
  4. Step 4: Simplify right side
    2,064.08x = 3,756,916.02
  5. Step 5: Solve for x
    x = 3,756,916.02/2,064.08
  6. Step 6: Final answer
    x = 1,820.14

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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.