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Finding the Fourth Proportional to 2,189.84, 3,283.87 and 802.78

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Solution

The fourth proportional to 2,189.84, 3,283.87 and 802.78 is: 1,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.84 : 3,283.87 = 802.78 : x
  2. Step 2: Convert to fraction form
    2,189.84/3,283.87 = 802.78/x
  3. Step 3: Cross multiply
    2,189.84x = 3,283.87 × 802.78
  4. Step 4: Simplify right side
    2,189.84x = 2,636,225.16
  5. Step 5: Solve for x
    x = 2,636,225.16/2,189.84
  6. Step 6: Final answer
    x = 1,203.84

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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.