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Finding the Fourth Proportional to 2,887.34, 4,330.74 and 807.53

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Solution

The fourth proportional to 2,887.34, 4,330.74 and 807.53 is: 1,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.34 : 4,330.74 = 807.53 : x
  2. Step 2: Convert to fraction form
    2,887.34/4,330.74 = 807.53/x
  3. Step 3: Cross multiply
    2,887.34x = 4,330.74 × 807.53
  4. Step 4: Simplify right side
    2,887.34x = 3,497,202.47
  5. Step 5: Solve for x
    x = 3,497,202.47/2,887.34
  6. Step 6: Final answer
    x = 1,211.22

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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.