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Finding the Fourth Proportional to 2,585.58, 3,568.06 and 1,406.64

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Solution

The fourth proportional to 2,585.58, 3,568.06 and 1,406.64 is: 1,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.58 : 3,568.06 = 1,406.64 : x
  2. Step 2: Convert to fraction form
    2,585.58/3,568.06 = 1,406.64/x
  3. Step 3: Cross multiply
    2,585.58x = 3,568.06 × 1,406.64
  4. Step 4: Simplify right side
    2,585.58x = 5,018,975.92
  5. Step 5: Solve for x
    x = 5,018,975.92/2,585.58
  6. Step 6: Final answer
    x = 1,941.14

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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.