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Finding the Fourth Proportional to 1,842.03, 2,762.24 and 976.14

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Solution

The fourth proportional to 1,842.03, 2,762.24 and 976.14 is: 1,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.03 : 2,762.24 = 976.14 : x
  2. Step 2: Convert to fraction form
    1,842.03/2,762.24 = 976.14/x
  3. Step 3: Cross multiply
    1,842.03x = 2,762.24 × 976.14
  4. Step 4: Simplify right side
    1,842.03x = 2,696,328.07
  5. Step 5: Solve for x
    x = 2,696,328.07/1,842.03
  6. Step 6: Final answer
    x = 1,463.78

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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.