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Finding the Fourth Proportional to 2,307.89, 3,462.29 and 847.05

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Solution

The fourth proportional to 2,307.89, 3,462.29 and 847.05 is: 1,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.89 : 3,462.29 = 847.05 : x
  2. Step 2: Convert to fraction form
    2,307.89/3,462.29 = 847.05/x
  3. Step 3: Cross multiply
    2,307.89x = 3,462.29 × 847.05
  4. Step 4: Simplify right side
    2,307.89x = 2,932,732.74
  5. Step 5: Solve for x
    x = 2,932,732.74/2,307.89
  6. Step 6: Final answer
    x = 1,270.74

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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.