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Finding the Fourth Proportional to 2,307.67, 3,461.46 and 747.79

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Solution

The fourth proportional to 2,307.67, 3,461.46 and 747.79 is: 1,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.67 : 3,461.46 = 747.79 : x
  2. Step 2: Convert to fraction form
    2,307.67/3,461.46 = 747.79/x
  3. Step 3: Cross multiply
    2,307.67x = 3,461.46 × 747.79
  4. Step 4: Simplify right side
    2,307.67x = 2,588,445.17
  5. Step 5: Solve for x
    x = 2,588,445.17/2,307.67
  6. Step 6: Final answer
    x = 1,121.67

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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.