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Finding the Fourth Proportional to 2,802.78, 4,204.08 and 954.81

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Solution

The fourth proportional to 2,802.78, 4,204.08 and 954.81 is: 1,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.78 : 4,204.08 = 954.81 : x
  2. Step 2: Convert to fraction form
    2,802.78/4,204.08 = 954.81/x
  3. Step 3: Cross multiply
    2,802.78x = 4,204.08 × 954.81
  4. Step 4: Simplify right side
    2,802.78x = 4,014,097.62
  5. Step 5: Solve for x
    x = 4,014,097.62/2,802.78
  6. Step 6: Final answer
    x = 1,432.18

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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.