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Finding the Fourth Proportional to 2,012.35, 3,017.78 and 695.77

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Solution

The fourth proportional to 2,012.35, 3,017.78 and 695.77 is: 1,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.35 : 3,017.78 = 695.77 : x
  2. Step 2: Convert to fraction form
    2,012.35/3,017.78 = 695.77/x
  3. Step 3: Cross multiply
    2,012.35x = 3,017.78 × 695.77
  4. Step 4: Simplify right side
    2,012.35x = 2,099,680.79
  5. Step 5: Solve for x
    x = 2,099,680.79/2,012.35
  6. Step 6: Final answer
    x = 1,043.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.