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Finding the Fourth Proportional to 1,542.33, 2,313.61 and 446.70

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Solution

The fourth proportional to 1,542.33, 2,313.61 and 446.70 is: 670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.33 : 2,313.61 = 446.70 : x
  2. Step 2: Convert to fraction form
    1,542.33/2,313.61 = 446.70/x
  3. Step 3: Cross multiply
    1,542.33x = 2,313.61 × 446.70
  4. Step 4: Simplify right side
    1,542.33x = 1,033,489.59
  5. Step 5: Solve for x
    x = 1,033,489.59/1,542.33
  6. Step 6: Final answer
    x = 670.08

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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.