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Finding the Fourth Proportional to 2,442.88, 3,664.29 and 594.00

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Solution

The fourth proportional to 2,442.88, 3,664.29 and 594.00 is: 890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.88 : 3,664.29 = 594.00 : x
  2. Step 2: Convert to fraction form
    2,442.88/3,664.29 = 594.00/x
  3. Step 3: Cross multiply
    2,442.88x = 3,664.29 × 594.00
  4. Step 4: Simplify right side
    2,442.88x = 2,176,576.75
  5. Step 5: Solve for x
    x = 2,176,576.75/2,442.88
  6. Step 6: Final answer
    x = 890.99

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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.