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Finding the Fourth Proportional to 1,219.97, 1,830.65 and 1,210.06

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Solution

The fourth proportional to 1,219.97, 1,830.65 and 1,210.06 is: 1,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.97 : 1,830.65 = 1,210.06 : x
  2. Step 2: Convert to fraction form
    1,219.97/1,830.65 = 1,210.06/x
  3. Step 3: Cross multiply
    1,219.97x = 1,830.65 × 1,210.06
  4. Step 4: Simplify right side
    1,219.97x = 2,215,196.34
  5. Step 5: Solve for x
    x = 2,215,196.34/1,219.97
  6. Step 6: Final answer
    x = 1,815.78

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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.