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Finding the Fourth Proportional to 1,310.70, 1,955.01 and 1,219.98

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Solution

The fourth proportional to 1,310.70, 1,955.01 and 1,219.98 is: 1,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.70 : 1,955.01 = 1,219.98 : x
  2. Step 2: Convert to fraction form
    1,310.70/1,955.01 = 1,219.98/x
  3. Step 3: Cross multiply
    1,310.70x = 1,955.01 × 1,219.98
  4. Step 4: Simplify right side
    1,310.70x = 2,385,073.10
  5. Step 5: Solve for x
    x = 2,385,073.10/1,310.70
  6. Step 6: Final answer
    x = 1,819.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.