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Finding the Fourth Proportional to 2,585.87, 3,568.44 and 1,406.94

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Solution

The fourth proportional to 2,585.87, 3,568.44 and 1,406.94 is: 1,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.87 : 3,568.44 = 1,406.94 : x
  2. Step 2: Convert to fraction form
    2,585.87/3,568.44 = 1,406.94/x
  3. Step 3: Cross multiply
    2,585.87x = 3,568.44 × 1,406.94
  4. Step 4: Simplify right side
    2,585.87x = 5,020,580.97
  5. Step 5: Solve for x
    x = 5,020,580.97/2,585.87
  6. Step 6: Final answer
    x = 1,941.55

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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.