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Finding the Fourth Proportional to 2,707.48, 4,061.27 and 976.06

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Solution

The fourth proportional to 2,707.48, 4,061.27 and 976.06 is: 1,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.48 : 4,061.27 = 976.06 : x
  2. Step 2: Convert to fraction form
    2,707.48/4,061.27 = 976.06/x
  3. Step 3: Cross multiply
    2,707.48x = 4,061.27 × 976.06
  4. Step 4: Simplify right side
    2,707.48x = 3,964,043.20
  5. Step 5: Solve for x
    x = 3,964,043.20/2,707.48
  6. Step 6: Final answer
    x = 1,464.11

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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.