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Finding the Fourth Proportional to 2,911.50, 4,017.85 and 1,585.22

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Solution

The fourth proportional to 2,911.50, 4,017.85 and 1,585.22 is: 2,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.50 : 4,017.85 = 1,585.22 : x
  2. Step 2: Convert to fraction form
    2,911.50/4,017.85 = 1,585.22/x
  3. Step 3: Cross multiply
    2,911.50x = 4,017.85 × 1,585.22
  4. Step 4: Simplify right side
    2,911.50x = 6,369,176.18
  5. Step 5: Solve for x
    x = 6,369,176.18/2,911.50
  6. Step 6: Final answer
    x = 2,187.59

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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.