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Finding the Fourth Proportional to 2,483.64, 3,725.87 and 840.69

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Solution

The fourth proportional to 2,483.64, 3,725.87 and 840.69 is: 1,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.64 : 3,725.87 = 840.69 : x
  2. Step 2: Convert to fraction form
    2,483.64/3,725.87 = 840.69/x
  3. Step 3: Cross multiply
    2,483.64x = 3,725.87 × 840.69
  4. Step 4: Simplify right side
    2,483.64x = 3,132,297.45
  5. Step 5: Solve for x
    x = 3,132,297.45/2,483.64
  6. Step 6: Final answer
    x = 1,261.17

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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.