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Finding the Fourth Proportional to 1,648.23, 2,472.62 and 674.07

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Solution

The fourth proportional to 1,648.23, 2,472.62 and 674.07 is: 1,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.23 : 2,472.62 = 674.07 : x
  2. Step 2: Convert to fraction form
    1,648.23/2,472.62 = 674.07/x
  3. Step 3: Cross multiply
    1,648.23x = 2,472.62 × 674.07
  4. Step 4: Simplify right side
    1,648.23x = 1,666,715.59
  5. Step 5: Solve for x
    x = 1,666,715.59/1,648.23
  6. Step 6: Final answer
    x = 1,011.22

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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.