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Finding the Fourth Proportional to 1,315.98, 1,972.62 and 949.86

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Solution

The fourth proportional to 1,315.98, 1,972.62 and 949.86 is: 1,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.98 : 1,972.62 = 949.86 : x
  2. Step 2: Convert to fraction form
    1,315.98/1,972.62 = 949.86/x
  3. Step 3: Cross multiply
    1,315.98x = 1,972.62 × 949.86
  4. Step 4: Simplify right side
    1,315.98x = 1,873,712.83
  5. Step 5: Solve for x
    x = 1,873,712.83/1,315.98
  6. Step 6: Final answer
    x = 1,423.82

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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.