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Finding the Fourth Proportional to 2,911.52, 4,017.95 and 1,585.23

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Solution

The fourth proportional to 2,911.52, 4,017.95 and 1,585.23 is: 2,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.52 : 4,017.95 = 1,585.23 : x
  2. Step 2: Convert to fraction form
    2,911.52/4,017.95 = 1,585.23/x
  3. Step 3: Cross multiply
    2,911.52x = 4,017.95 × 1,585.23
  4. Step 4: Simplify right side
    2,911.52x = 6,369,374.88
  5. Step 5: Solve for x
    x = 6,369,374.88/2,911.52
  6. Step 6: Final answer
    x = 2,187.65

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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.