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Finding the Fourth Proportional to 2,446.28, 3,670.22 and 802.88

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Solution

The fourth proportional to 2,446.28, 3,670.22 and 802.88 is: 1,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.28 : 3,670.22 = 802.88 : x
  2. Step 2: Convert to fraction form
    2,446.28/3,670.22 = 802.88/x
  3. Step 3: Cross multiply
    2,446.28x = 3,670.22 × 802.88
  4. Step 4: Simplify right side
    2,446.28x = 2,946,746.23
  5. Step 5: Solve for x
    x = 2,946,746.23/2,446.28
  6. Step 6: Final answer
    x = 1,204.58

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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.