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Finding the Fourth Proportional to 2,585.40, 3,880.07 and 1,893.87

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Solution

The fourth proportional to 2,585.40, 3,880.07 and 1,893.87 is: 2,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.40 : 3,880.07 = 1,893.87 : x
  2. Step 2: Convert to fraction form
    2,585.40/3,880.07 = 1,893.87/x
  3. Step 3: Cross multiply
    2,585.40x = 3,880.07 × 1,893.87
  4. Step 4: Simplify right side
    2,585.40x = 7,348,334.89
  5. Step 5: Solve for x
    x = 7,348,334.89/2,585.40
  6. Step 6: Final answer
    x = 2,842.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.