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Finding the Fourth Proportional to 2,283.34, 3,425.52 and 802.78

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Solution

The fourth proportional to 2,283.34, 3,425.52 and 802.78 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.34 : 3,425.52 = 802.78 : x
  2. Step 2: Convert to fraction form
    2,283.34/3,425.52 = 802.78/x
  3. Step 3: Cross multiply
    2,283.34x = 3,425.52 × 802.78
  4. Step 4: Simplify right side
    2,283.34x = 2,749,938.95
  5. Step 5: Solve for x
    x = 2,749,938.95/2,283.34
  6. Step 6: Final answer
    x = 1,204.35

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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.