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Finding the Fourth Proportional to 2,283.39, 3,152.99 and 1,539.81

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Solution

The fourth proportional to 2,283.39, 3,152.99 and 1,539.81 is: 2,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.39 : 3,152.99 = 1,539.81 : x
  2. Step 2: Convert to fraction form
    2,283.39/3,152.99 = 1,539.81/x
  3. Step 3: Cross multiply
    2,283.39x = 3,152.99 × 1,539.81
  4. Step 4: Simplify right side
    2,283.39x = 4,854,997.83
  5. Step 5: Solve for x
    x = 4,854,997.83/2,283.39
  6. Step 6: Final answer
    x = 2,126.22

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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.