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Finding the Fourth Proportional to 1,315.98, 1,974.38 and 946.62

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Solution

The fourth proportional to 1,315.98, 1,974.38 and 946.62 is: 1,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.98 : 1,974.38 = 946.62 : x
  2. Step 2: Convert to fraction form
    1,315.98/1,974.38 = 946.62/x
  3. Step 3: Cross multiply
    1,315.98x = 1,974.38 × 946.62
  4. Step 4: Simplify right side
    1,315.98x = 1,868,982.86
  5. Step 5: Solve for x
    x = 1,868,982.86/1,315.98
  6. Step 6: Final answer
    x = 1,420.22

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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.