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Finding the Fourth Proportional to 2,541.58, 3,506.25 and 1,657.42

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Solution

The fourth proportional to 2,541.58, 3,506.25 and 1,657.42 is: 2,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.58 : 3,506.25 = 1,657.42 : x
  2. Step 2: Convert to fraction form
    2,541.58/3,506.25 = 1,657.42/x
  3. Step 3: Cross multiply
    2,541.58x = 3,506.25 × 1,657.42
  4. Step 4: Simplify right side
    2,541.58x = 5,811,328.88
  5. Step 5: Solve for x
    x = 5,811,328.88/2,541.58
  6. Step 6: Final answer
    x = 2,286.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.