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Finding the Fourth Proportional to 1,623.69, 2,242.01 and 1,542.15

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Solution

The fourth proportional to 1,623.69, 2,242.01 and 1,542.15 is: 2,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.69 : 2,242.01 = 1,542.15 : x
  2. Step 2: Convert to fraction form
    1,623.69/2,242.01 = 1,542.15/x
  3. Step 3: Cross multiply
    1,623.69x = 2,242.01 × 1,542.15
  4. Step 4: Simplify right side
    1,623.69x = 3,457,515.72
  5. Step 5: Solve for x
    x = 3,457,515.72/1,623.69
  6. Step 6: Final answer
    x = 2,129.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.