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Finding the Fourth Proportional to 2,443.19, 3,664.77 and 594.30

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Solution

The fourth proportional to 2,443.19, 3,664.77 and 594.30 is: 891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.19 : 3,664.77 = 594.30 : x
  2. Step 2: Convert to fraction form
    2,443.19/3,664.77 = 594.30/x
  3. Step 3: Cross multiply
    2,443.19x = 3,664.77 × 594.30
  4. Step 4: Simplify right side
    2,443.19x = 2,177,972.81
  5. Step 5: Solve for x
    x = 2,177,972.81/2,443.19
  6. Step 6: Final answer
    x = 891.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.