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Finding the Fourth Proportional to 1,578.19, 2,365.18 and 1,211.18

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Solution

The fourth proportional to 1,578.19, 2,365.18 and 1,211.18 is: 1,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.19 : 2,365.18 = 1,211.18 : x
  2. Step 2: Convert to fraction form
    1,578.19/2,365.18 = 1,211.18/x
  3. Step 3: Cross multiply
    1,578.19x = 2,365.18 × 1,211.18
  4. Step 4: Simplify right side
    1,578.19x = 2,864,652.66
  5. Step 5: Solve for x
    x = 2,864,652.66/1,578.19
  6. Step 6: Final answer
    x = 1,815.15

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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.