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Finding the Fourth Proportional to 2,350.96, 3,244.38 and 1,303

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Solution

The fourth proportional to 2,350.96, 3,244.38 and 1,303 is: 1,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.96 : 3,244.38 = 1,303 : x
  2. Step 2: Convert to fraction form
    2,350.96/3,244.38 = 1,303/x
  3. Step 3: Cross multiply
    2,350.96x = 3,244.38 × 1,303
  4. Step 4: Simplify right side
    2,350.96x = 4,227,427.14
  5. Step 5: Solve for x
    x = 4,227,427.14/2,350.96
  6. Step 6: Final answer
    x = 1,798.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.