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Finding the Fourth Proportional to 3,267.53, 4,901.31 and 802.35

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Solution

The fourth proportional to 3,267.53, 4,901.31 and 802.35 is: 1,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.53 : 4,901.31 = 802.35 : x
  2. Step 2: Convert to fraction form
    3,267.53/4,901.31 = 802.35/x
  3. Step 3: Cross multiply
    3,267.53x = 4,901.31 × 802.35
  4. Step 4: Simplify right side
    3,267.53x = 3,932,581.95
  5. Step 5: Solve for x
    x = 3,932,581.95/3,267.53
  6. Step 6: Final answer
    x = 1,203.53

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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.