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Finding the Fourth Proportional to 2,263.58, 3,395.38 and 802.78

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Solution

The fourth proportional to 2,263.58, 3,395.38 and 802.78 is: 1,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.58 : 3,395.38 = 802.78 : x
  2. Step 2: Convert to fraction form
    2,263.58/3,395.38 = 802.78/x
  3. Step 3: Cross multiply
    2,263.58x = 3,395.38 × 802.78
  4. Step 4: Simplify right side
    2,263.58x = 2,725,724.17
  5. Step 5: Solve for x
    x = 2,725,724.17/2,263.58
  6. Step 6: Final answer
    x = 1,204.17

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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.