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Finding the Fourth Proportional to 2,911.52, 4,017.96 and 1,585.29

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Solution

The fourth proportional to 2,911.52, 4,017.96 and 1,585.29 is: 2,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.52 : 4,017.96 = 1,585.29 : x
  2. Step 2: Convert to fraction form
    2,911.52/4,017.96 = 1,585.29/x
  3. Step 3: Cross multiply
    2,911.52x = 4,017.96 × 1,585.29
  4. Step 4: Simplify right side
    2,911.52x = 6,369,631.81
  5. Step 5: Solve for x
    x = 6,369,631.81/2,911.52
  6. Step 6: Final answer
    x = 2,187.74

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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.