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Finding the Fourth Proportional to 2,333.10, 3,497.52 and 1,511.76

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Solution

The fourth proportional to 2,333.10, 3,497.52 and 1,511.76 is: 2,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.10 : 3,497.52 = 1,511.76 : x
  2. Step 2: Convert to fraction form
    2,333.10/3,497.52 = 1,511.76/x
  3. Step 3: Cross multiply
    2,333.10x = 3,497.52 × 1,511.76
  4. Step 4: Simplify right side
    2,333.10x = 5,287,410.84
  5. Step 5: Solve for x
    x = 5,287,410.84/2,333.10
  6. Step 6: Final answer
    x = 2,266.26

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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.