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Finding the Fourth Proportional to 2,074.77, 2,862.90 and 1,235.79

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Solution

The fourth proportional to 2,074.77, 2,862.90 and 1,235.79 is: 1,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.77 : 2,862.90 = 1,235.79 : x
  2. Step 2: Convert to fraction form
    2,074.77/2,862.90 = 1,235.79/x
  3. Step 3: Cross multiply
    2,074.77x = 2,862.90 × 1,235.79
  4. Step 4: Simplify right side
    2,074.77x = 3,537,943.19
  5. Step 5: Solve for x
    x = 3,537,943.19/2,074.77
  6. Step 6: Final answer
    x = 1,705.22

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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.