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Finding the Fourth Proportional to 1,561.74, 2,342.20 and 465.81

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Solution

The fourth proportional to 1,561.74, 2,342.20 and 465.81 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.74 : 2,342.20 = 465.81 : x
  2. Step 2: Convert to fraction form
    1,561.74/2,342.20 = 465.81/x
  3. Step 3: Cross multiply
    1,561.74x = 2,342.20 × 465.81
  4. Step 4: Simplify right side
    1,561.74x = 1,091,020.18
  5. Step 5: Solve for x
    x = 1,091,020.18/1,561.74
  6. Step 6: Final answer
    x = 698.59

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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.