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Finding the Fourth Proportional to 2,585.70, 3,568.16 and 1,406.77

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Solution

The fourth proportional to 2,585.70, 3,568.16 and 1,406.77 is: 1,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.70 : 3,568.16 = 1,406.77 : x
  2. Step 2: Convert to fraction form
    2,585.70/3,568.16 = 1,406.77/x
  3. Step 3: Cross multiply
    2,585.70x = 3,568.16 × 1,406.77
  4. Step 4: Simplify right side
    2,585.70x = 5,019,580.44
  5. Step 5: Solve for x
    x = 5,019,580.44/2,585.70
  6. Step 6: Final answer
    x = 1,941.28

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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.