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Finding the Fourth Proportional to 2,442.98, 3,664.47 and 594.09

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Solution

The fourth proportional to 2,442.98, 3,664.47 and 594.09 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.98 : 3,664.47 = 594.09 : x
  2. Step 2: Convert to fraction form
    2,442.98/3,664.47 = 594.09/x
  3. Step 3: Cross multiply
    2,442.98x = 3,664.47 × 594.09
  4. Step 4: Simplify right side
    2,442.98x = 2,177,024.98
  5. Step 5: Solve for x
    x = 2,177,024.98/2,442.98
  6. Step 6: Final answer
    x = 891.14

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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.