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Finding the Fourth Proportional to 2,497.05, 3,720.44 and 2,461.41

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Solution

The fourth proportional to 2,497.05, 3,720.44 and 2,461.41 is: 3,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.05 : 3,720.44 = 2,461.41 : x
  2. Step 2: Convert to fraction form
    2,497.05/3,720.44 = 2,461.41/x
  3. Step 3: Cross multiply
    2,497.05x = 3,720.44 × 2,461.41
  4. Step 4: Simplify right side
    2,497.05x = 9,157,534.37
  5. Step 5: Solve for x
    x = 9,157,534.37/2,497.05
  6. Step 6: Final answer
    x = 3,667.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.