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Finding the Fourth Proportional to 3,307.42, 4,564.11 and 1,981.72

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Solution

The fourth proportional to 3,307.42, 4,564.11 and 1,981.72 is: 2,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.42 : 4,564.11 = 1,981.72 : x
  2. Step 2: Convert to fraction form
    3,307.42/4,564.11 = 1,981.72/x
  3. Step 3: Cross multiply
    3,307.42x = 4,564.11 × 1,981.72
  4. Step 4: Simplify right side
    3,307.42x = 9,044,788.07
  5. Step 5: Solve for x
    x = 9,044,788.07/3,307.42
  6. Step 6: Final answer
    x = 2,734.70

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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.