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Finding the Fourth Proportional to 2,540.94, 3,506.34 and 1,597.68

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Solution

The fourth proportional to 2,540.94, 3,506.34 and 1,597.68 is: 2,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.94 : 3,506.34 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    2,540.94/3,506.34 = 1,597.68/x
  3. Step 3: Cross multiply
    2,540.94x = 3,506.34 × 1,597.68
  4. Step 4: Simplify right side
    2,540.94x = 5,602,009.29
  5. Step 5: Solve for x
    x = 5,602,009.29/2,540.94
  6. Step 6: Final answer
    x = 2,204.70

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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.