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Finding the Fourth Proportional to 1,772.31, 2,656.89 and 893.67

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Solution

The fourth proportional to 1,772.31, 2,656.89 and 893.67 is: 1,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.31 : 2,656.89 = 893.67 : x
  2. Step 2: Convert to fraction form
    1,772.31/2,656.89 = 893.67/x
  3. Step 3: Cross multiply
    1,772.31x = 2,656.89 × 893.67
  4. Step 4: Simplify right side
    1,772.31x = 2,374,382.89
  5. Step 5: Solve for x
    x = 2,374,382.89/1,772.31
  6. Step 6: Final answer
    x = 1,339.71

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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.