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Finding the Fourth Proportional to 1,441.93, 2,162.89 and 468.07

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Solution

The fourth proportional to 1,441.93, 2,162.89 and 468.07 is: 702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.93 : 2,162.89 = 468.07 : x
  2. Step 2: Convert to fraction form
    1,441.93/2,162.89 = 468.07/x
  3. Step 3: Cross multiply
    1,441.93x = 2,162.89 × 468.07
  4. Step 4: Simplify right side
    1,441.93x = 1,012,370.77
  5. Step 5: Solve for x
    x = 1,012,370.77/1,441.93
  6. Step 6: Final answer
    x = 702.10

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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.