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Finding the Fourth Proportional to 2,237.34, 3,355.72 and 594.02

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Solution

The fourth proportional to 2,237.34, 3,355.72 and 594.02 is: 890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.34 : 3,355.72 = 594.02 : x
  2. Step 2: Convert to fraction form
    2,237.34/3,355.72 = 594.02/x
  3. Step 3: Cross multiply
    2,237.34x = 3,355.72 × 594.02
  4. Step 4: Simplify right side
    2,237.34x = 1,993,364.79
  5. Step 5: Solve for x
    x = 1,993,364.79/2,237.34
  6. Step 6: Final answer
    x = 890.95

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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.