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Finding the Fourth Proportional to 1,914.56, 2,870.22 and 874.20

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Solution

The fourth proportional to 1,914.56, 2,870.22 and 874.20 is: 1,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.56 : 2,870.22 = 874.20 : x
  2. Step 2: Convert to fraction form
    1,914.56/2,870.22 = 874.20/x
  3. Step 3: Cross multiply
    1,914.56x = 2,870.22 × 874.20
  4. Step 4: Simplify right side
    1,914.56x = 2,509,146.32
  5. Step 5: Solve for x
    x = 2,509,146.32/1,914.56
  6. Step 6: Final answer
    x = 1,310.56

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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.