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Finding the Fourth Proportional to 1,614.04, 2,422.13 and 588.04

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Solution

The fourth proportional to 1,614.04, 2,422.13 and 588.04 is: 882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.04 : 2,422.13 = 588.04 : x
  2. Step 2: Convert to fraction form
    1,614.04/2,422.13 = 588.04/x
  3. Step 3: Cross multiply
    1,614.04x = 2,422.13 × 588.04
  4. Step 4: Simplify right side
    1,614.04x = 1,424,297.21
  5. Step 5: Solve for x
    x = 1,424,297.21/1,614.04
  6. Step 6: Final answer
    x = 882.45

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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.