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Finding the Fourth Proportional to 2,264.22, 3,395.49 and 802.98

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Solution

The fourth proportional to 2,264.22, 3,395.49 and 802.98 is: 1,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.22 : 3,395.49 = 802.98 : x
  2. Step 2: Convert to fraction form
    2,264.22/3,395.49 = 802.98/x
  3. Step 3: Cross multiply
    2,264.22x = 3,395.49 × 802.98
  4. Step 4: Simplify right side
    2,264.22x = 2,726,510.56
  5. Step 5: Solve for x
    x = 2,726,510.56/2,264.22
  6. Step 6: Final answer
    x = 1,204.17

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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.