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Finding the Fourth Proportional to 1,615.23, 2,421.95 and 628.38

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Solution

The fourth proportional to 1,615.23, 2,421.95 and 628.38 is: 942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.23 : 2,421.95 = 628.38 : x
  2. Step 2: Convert to fraction form
    1,615.23/2,421.95 = 628.38/x
  3. Step 3: Cross multiply
    1,615.23x = 2,421.95 × 628.38
  4. Step 4: Simplify right side
    1,615.23x = 1,521,901.80
  5. Step 5: Solve for x
    x = 1,521,901.80/1,615.23
  6. Step 6: Final answer
    x = 942.22

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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.