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Finding the Fourth Proportional to 2,237.76, 3,356.79 and 594.30

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Solution

The fourth proportional to 2,237.76, 3,356.79 and 594.30 is: 891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.76 : 3,356.79 = 594.30 : x
  2. Step 2: Convert to fraction form
    2,237.76/3,356.79 = 594.30/x
  3. Step 3: Cross multiply
    2,237.76x = 3,356.79 × 594.30
  4. Step 4: Simplify right side
    2,237.76x = 1,994,940.30
  5. Step 5: Solve for x
    x = 1,994,940.30/2,237.76
  6. Step 6: Final answer
    x = 891.49

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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.