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Finding the Fourth Proportional to 2,446.76, 3,670.52 and 802.94

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Solution

The fourth proportional to 2,446.76, 3,670.52 and 802.94 is: 1,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.76 : 3,670.52 = 802.94 : x
  2. Step 2: Convert to fraction form
    2,446.76/3,670.52 = 802.94/x
  3. Step 3: Cross multiply
    2,446.76x = 3,670.52 × 802.94
  4. Step 4: Simplify right side
    2,446.76x = 2,947,184.96
  5. Step 5: Solve for x
    x = 2,947,184.96/2,446.76
  6. Step 6: Final answer
    x = 1,204.53

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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.