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Finding the Fourth Proportional to 1,842.28, 2,762.61 and 976.39

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Solution

The fourth proportional to 1,842.28, 2,762.61 and 976.39 is: 1,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.28 : 2,762.61 = 976.39 : x
  2. Step 2: Convert to fraction form
    1,842.28/2,762.61 = 976.39/x
  3. Step 3: Cross multiply
    1,842.28x = 2,762.61 × 976.39
  4. Step 4: Simplify right side
    1,842.28x = 2,697,384.78
  5. Step 5: Solve for x
    x = 2,697,384.78/1,842.28
  6. Step 6: Final answer
    x = 1,464.16

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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.