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Finding the Fourth Proportional to 2,326.19, 3,489.29 and 594.81

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Solution

The fourth proportional to 2,326.19, 3,489.29 and 594.81 is: 892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.19 : 3,489.29 = 594.81 : x
  2. Step 2: Convert to fraction form
    2,326.19/3,489.29 = 594.81/x
  3. Step 3: Cross multiply
    2,326.19x = 3,489.29 × 594.81
  4. Step 4: Simplify right side
    2,326.19x = 2,075,474.80
  5. Step 5: Solve for x
    x = 2,075,474.80/2,326.19
  6. Step 6: Final answer
    x = 892.22

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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.