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Finding the Fourth Proportional to 2,307.29, 3,462.29 and 1,484.43

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Solution

The fourth proportional to 2,307.29, 3,462.29 and 1,484.43 is: 2,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.29 : 3,462.29 = 1,484.43 : x
  2. Step 2: Convert to fraction form
    2,307.29/3,462.29 = 1,484.43/x
  3. Step 3: Cross multiply
    2,307.29x = 3,462.29 × 1,484.43
  4. Step 4: Simplify right side
    2,307.29x = 5,139,520.66
  5. Step 5: Solve for x
    x = 5,139,520.66/2,307.29
  6. Step 6: Final answer
    x = 2,227.52

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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.