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Finding the Fourth Proportional to 2,560.86, 3,840.90 and 712.14

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Solution

The fourth proportional to 2,560.86, 3,840.90 and 712.14 is: 1,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.86 : 3,840.90 = 712.14 : x
  2. Step 2: Convert to fraction form
    2,560.86/3,840.90 = 712.14/x
  3. Step 3: Cross multiply
    2,560.86x = 3,840.90 × 712.14
  4. Step 4: Simplify right side
    2,560.86x = 2,735,258.53
  5. Step 5: Solve for x
    x = 2,735,258.53/2,560.86
  6. Step 6: Final answer
    x = 1,068.10

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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.