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Finding the Fourth Proportional to 2,598.29, 3,897.82 and 842.72

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Solution

The fourth proportional to 2,598.29, 3,897.82 and 842.72 is: 1,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.29 : 3,897.82 = 842.72 : x
  2. Step 2: Convert to fraction form
    2,598.29/3,897.82 = 842.72/x
  3. Step 3: Cross multiply
    2,598.29x = 3,897.82 × 842.72
  4. Step 4: Simplify right side
    2,598.29x = 3,284,778.51
  5. Step 5: Solve for x
    x = 3,284,778.51/2,598.29
  6. Step 6: Final answer
    x = 1,264.21

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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.