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Finding the Fourth Proportional to 2,333.04, 3,497.67 and 871.98

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Solution

The fourth proportional to 2,333.04, 3,497.67 and 871.98 is: 1,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.04 : 3,497.67 = 871.98 : x
  2. Step 2: Convert to fraction form
    2,333.04/3,497.67 = 871.98/x
  3. Step 3: Cross multiply
    2,333.04x = 3,497.67 × 871.98
  4. Step 4: Simplify right side
    2,333.04x = 3,049,898.29
  5. Step 5: Solve for x
    x = 3,049,898.29/2,333.04
  6. Step 6: Final answer
    x = 1,307.26

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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.