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Finding the Fourth Proportional to 3,307.29, 4,564.20 and 1,980.74

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Solution

The fourth proportional to 3,307.29, 4,564.20 and 1,980.74 is: 2,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.29 : 4,564.20 = 1,980.74 : x
  2. Step 2: Convert to fraction form
    3,307.29/4,564.20 = 1,980.74/x
  3. Step 3: Cross multiply
    3,307.29x = 4,564.20 × 1,980.74
  4. Step 4: Simplify right side
    3,307.29x = 9,040,460.78
  5. Step 5: Solve for x
    x = 9,040,460.78/3,307.29
  6. Step 6: Final answer
    x = 2,733.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.