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Finding the Fourth Proportional to 1,382.24, 2,074.80 and 894.08

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Solution

The fourth proportional to 1,382.24, 2,074.80 and 894.08 is: 1,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.24 : 2,074.80 = 894.08 : x
  2. Step 2: Convert to fraction form
    1,382.24/2,074.80 = 894.08/x
  3. Step 3: Cross multiply
    1,382.24x = 2,074.80 × 894.08
  4. Step 4: Simplify right side
    1,382.24x = 1,855,037.18
  5. Step 5: Solve for x
    x = 1,855,037.18/1,382.24
  6. Step 6: Final answer
    x = 1,342.05

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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.