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Finding the Fourth Proportional to 1,622.61, 2,239.44 and 914.52

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Solution

The fourth proportional to 1,622.61, 2,239.44 and 914.52 is: 1,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.61 : 2,239.44 = 914.52 : x
  2. Step 2: Convert to fraction form
    1,622.61/2,239.44 = 914.52/x
  3. Step 3: Cross multiply
    1,622.61x = 2,239.44 × 914.52
  4. Step 4: Simplify right side
    1,622.61x = 2,048,012.67
  5. Step 5: Solve for x
    x = 2,048,012.67/1,622.61
  6. Step 6: Final answer
    x = 1,262.17

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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.