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Finding the Fourth Proportional to 2,971.02, 4,476.60 and 2,462.34

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Solution

The fourth proportional to 2,971.02, 4,476.60 and 2,462.34 is: 3,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.02 : 4,476.60 = 2,462.34 : x
  2. Step 2: Convert to fraction form
    2,971.02/4,476.60 = 2,462.34/x
  3. Step 3: Cross multiply
    2,971.02x = 4,476.60 × 2,462.34
  4. Step 4: Simplify right side
    2,971.02x = 11,022,898.93
  5. Step 5: Solve for x
    x = 11,022,898.93/2,971.02
  6. Step 6: Final answer
    x = 3,710.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.