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Finding the Fourth Proportional to 2,585.59, 3,568.05 and 1,466.57

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Solution

The fourth proportional to 2,585.59, 3,568.05 and 1,466.57 is: 2,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.59 : 3,568.05 = 1,466.57 : x
  2. Step 2: Convert to fraction form
    2,585.59/3,568.05 = 1,466.57/x
  3. Step 3: Cross multiply
    2,585.59x = 3,568.05 × 1,466.57
  4. Step 4: Simplify right side
    2,585.59x = 5,232,804.01
  5. Step 5: Solve for x
    x = 5,232,804.01/2,585.59
  6. Step 6: Final answer
    x = 2,023.84

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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.