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Finding the Fourth Proportional to 2,442.96, 3,664.44 and 594.07

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Solution

The fourth proportional to 2,442.96, 3,664.44 and 594.07 is: 891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.96 : 3,664.44 = 594.07 : x
  2. Step 2: Convert to fraction form
    2,442.96/3,664.44 = 594.07/x
  3. Step 3: Cross multiply
    2,442.96x = 3,664.44 × 594.07
  4. Step 4: Simplify right side
    2,442.96x = 2,176,924.71
  5. Step 5: Solve for x
    x = 2,176,924.71/2,442.96
  6. Step 6: Final answer
    x = 891.10

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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.