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Finding the Fourth Proportional to 2,587.02, 3,880.59 and 855.78

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Solution

The fourth proportional to 2,587.02, 3,880.59 and 855.78 is: 1,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.02 : 3,880.59 = 855.78 : x
  2. Step 2: Convert to fraction form
    2,587.02/3,880.59 = 855.78/x
  3. Step 3: Cross multiply
    2,587.02x = 3,880.59 × 855.78
  4. Step 4: Simplify right side
    2,587.02x = 3,320,931.31
  5. Step 5: Solve for x
    x = 3,320,931.31/2,587.02
  6. Step 6: Final answer
    x = 1,283.69

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