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Finding the Fourth Proportional to 2,262.84, 3,395.60 and 1,030.22

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Solution

The fourth proportional to 2,262.84, 3,395.60 and 1,030.22 is: 1,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.84 : 3,395.60 = 1,030.22 : x
  2. Step 2: Convert to fraction form
    2,262.84/3,395.60 = 1,030.22/x
  3. Step 3: Cross multiply
    2,262.84x = 3,395.60 × 1,030.22
  4. Step 4: Simplify right side
    2,262.84x = 3,498,215.03
  5. Step 5: Solve for x
    x = 3,498,215.03/2,262.84
  6. Step 6: Final answer
    x = 1,545.94

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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.