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Finding the Fourth Proportional to 2,648.78, 3,971.63 and 893.21

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Solution

The fourth proportional to 2,648.78, 3,971.63 and 893.21 is: 1,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.78 : 3,971.63 = 893.21 : x
  2. Step 2: Convert to fraction form
    2,648.78/3,971.63 = 893.21/x
  3. Step 3: Cross multiply
    2,648.78x = 3,971.63 × 893.21
  4. Step 4: Simplify right side
    2,648.78x = 3,547,499.32
  5. Step 5: Solve for x
    x = 3,547,499.32/2,648.78
  6. Step 6: Final answer
    x = 1,339.29

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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.