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Finding the Fourth Proportional to 1,773.25, 2,656.24 and 894.52

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Solution

The fourth proportional to 1,773.25, 2,656.24 and 894.52 is: 1,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.25 : 2,656.24 = 894.52 : x
  2. Step 2: Convert to fraction form
    1,773.25/2,656.24 = 894.52/x
  3. Step 3: Cross multiply
    1,773.25x = 2,656.24 × 894.52
  4. Step 4: Simplify right side
    1,773.25x = 2,376,050.93
  5. Step 5: Solve for x
    x = 2,376,050.93/1,773.25
  6. Step 6: Final answer
    x = 1,339.94

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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.