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Finding the Fourth Proportional to 2,068.50, 3,102.87 and 587.60

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Solution

The fourth proportional to 2,068.50, 3,102.87 and 587.60 is: 881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.50 : 3,102.87 = 587.60 : x
  2. Step 2: Convert to fraction form
    2,068.50/3,102.87 = 587.60/x
  3. Step 3: Cross multiply
    2,068.50x = 3,102.87 × 587.60
  4. Step 4: Simplify right side
    2,068.50x = 1,823,254.17
  5. Step 5: Solve for x
    x = 1,823,254.17/2,068.50
  6. Step 6: Final answer
    x = 881.44

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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.