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Finding the Fourth Proportional to 1,531.76, 2,297.62 and 377.50

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Solution

The fourth proportional to 1,531.76, 2,297.62 and 377.50 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.76 : 2,297.62 = 377.50 : x
  2. Step 2: Convert to fraction form
    1,531.76/2,297.62 = 377.50/x
  3. Step 3: Cross multiply
    1,531.76x = 2,297.62 × 377.50
  4. Step 4: Simplify right side
    1,531.76x = 867,351.55
  5. Step 5: Solve for x
    x = 867,351.55/1,531.76
  6. Step 6: Final answer
    x = 566.25

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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.