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Finding the Fourth Proportional to 1,569.57, 2,339.94 and 1,446.27

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Solution

The fourth proportional to 1,569.57, 2,339.94 and 1,446.27 is: 2,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.57 : 2,339.94 = 1,446.27 : x
  2. Step 2: Convert to fraction form
    1,569.57/2,339.94 = 1,446.27/x
  3. Step 3: Cross multiply
    1,569.57x = 2,339.94 × 1,446.27
  4. Step 4: Simplify right side
    1,569.57x = 3,384,185.02
  5. Step 5: Solve for x
    x = 3,384,185.02/1,569.57
  6. Step 6: Final answer
    x = 2,156.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.