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Finding the Fourth Proportional to 2,257.49, 3,384.99 and 697.06

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Solution

The fourth proportional to 2,257.49, 3,384.99 and 697.06 is: 1,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.49 : 3,384.99 = 697.06 : x
  2. Step 2: Convert to fraction form
    2,257.49/3,384.99 = 697.06/x
  3. Step 3: Cross multiply
    2,257.49x = 3,384.99 × 697.06
  4. Step 4: Simplify right side
    2,257.49x = 2,359,545.36
  5. Step 5: Solve for x
    x = 2,359,545.36/2,257.49
  6. Step 6: Final answer
    x = 1,045.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.