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Finding the Fourth Proportional to 2,471.88, 3,707.01 and 1,011.45

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Solution

The fourth proportional to 2,471.88, 3,707.01 and 1,011.45 is: 1,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.88 : 3,707.01 = 1,011.45 : x
  2. Step 2: Convert to fraction form
    2,471.88/3,707.01 = 1,011.45/x
  3. Step 3: Cross multiply
    2,471.88x = 3,707.01 × 1,011.45
  4. Step 4: Simplify right side
    2,471.88x = 3,749,455.26
  5. Step 5: Solve for x
    x = 3,749,455.26/2,471.88
  6. Step 6: Final answer
    x = 1,516.84

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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.