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Finding the Fourth Proportional to 2,585.79, 3,568.38 and 1,406.87

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Solution

The fourth proportional to 2,585.79, 3,568.38 and 1,406.87 is: 1,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.79 : 3,568.38 = 1,406.87 : x
  2. Step 2: Convert to fraction form
    2,585.79/3,568.38 = 1,406.87/x
  3. Step 3: Cross multiply
    2,585.79x = 3,568.38 × 1,406.87
  4. Step 4: Simplify right side
    2,585.79x = 5,020,228.93
  5. Step 5: Solve for x
    x = 5,020,228.93/2,585.79
  6. Step 6: Final answer
    x = 1,941.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.