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Finding the Fourth Proportional to 2,083.77, 2,894.90 and 2,064.74

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Solution

The fourth proportional to 2,083.77, 2,894.90 and 2,064.74 is: 2,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.77 : 2,894.90 = 2,064.74 : x
  2. Step 2: Convert to fraction form
    2,083.77/2,894.90 = 2,064.74/x
  3. Step 3: Cross multiply
    2,083.77x = 2,894.90 × 2,064.74
  4. Step 4: Simplify right side
    2,083.77x = 5,977,191.03
  5. Step 5: Solve for x
    x = 5,977,191.03/2,083.77
  6. Step 6: Final answer
    x = 2,868.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.