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Finding the Fourth Proportional to 1,614.31, 2,421.02 and 444.04

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Solution

The fourth proportional to 1,614.31, 2,421.02 and 444.04 is: 665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.31 : 2,421.02 = 444.04 : x
  2. Step 2: Convert to fraction form
    1,614.31/2,421.02 = 444.04/x
  3. Step 3: Cross multiply
    1,614.31x = 2,421.02 × 444.04
  4. Step 4: Simplify right side
    1,614.31x = 1,075,031.59
  5. Step 5: Solve for x
    x = 1,075,031.59/1,614.31
  6. Step 6: Final answer
    x = 665.94

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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.