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Finding the Fourth Proportional to 2,585.76, 3,568.32 and 1,406.85

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Solution

The fourth proportional to 2,585.76, 3,568.32 and 1,406.85 is: 1,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.76 : 3,568.32 = 1,406.85 : x
  2. Step 2: Convert to fraction form
    2,585.76/3,568.32 = 1,406.85/x
  3. Step 3: Cross multiply
    2,585.76x = 3,568.32 × 1,406.85
  4. Step 4: Simplify right side
    2,585.76x = 5,020,090.99
  5. Step 5: Solve for x
    x = 5,020,090.99/2,585.76
  6. Step 6: Final answer
    x = 1,941.44

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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.