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Finding the Fourth Proportional to 2,095.79, 3,142.94 and 1,217.93

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Solution

The fourth proportional to 2,095.79, 3,142.94 and 1,217.93 is: 1,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.79 : 3,142.94 = 1,217.93 : x
  2. Step 2: Convert to fraction form
    2,095.79/3,142.94 = 1,217.93/x
  3. Step 3: Cross multiply
    2,095.79x = 3,142.94 × 1,217.93
  4. Step 4: Simplify right side
    2,095.79x = 3,827,859.11
  5. Step 5: Solve for x
    x = 3,827,859.11/2,095.79
  6. Step 6: Final answer
    x = 1,826.46

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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.