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Finding the Fourth Proportional to 2,541.70, 3,494.06 and 2,186.32

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Solution

The fourth proportional to 2,541.70, 3,494.06 and 2,186.32 is: 3,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.70 : 3,494.06 = 2,186.32 : x
  2. Step 2: Convert to fraction form
    2,541.70/3,494.06 = 2,186.32/x
  3. Step 3: Cross multiply
    2,541.70x = 3,494.06 × 2,186.32
  4. Step 4: Simplify right side
    2,541.70x = 7,639,133.26
  5. Step 5: Solve for x
    x = 7,639,133.26/2,541.70
  6. Step 6: Final answer
    x = 3,005.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.