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Finding the Fourth Proportional to 2,541.84, 3,507.87 and 1,597.28

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Solution

The fourth proportional to 2,541.84, 3,507.87 and 1,597.28 is: 2,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.84 : 3,507.87 = 1,597.28 : x
  2. Step 2: Convert to fraction form
    2,541.84/3,507.87 = 1,597.28/x
  3. Step 3: Cross multiply
    2,541.84x = 3,507.87 × 1,597.28
  4. Step 4: Simplify right side
    2,541.84x = 5,603,025.07
  5. Step 5: Solve for x
    x = 5,603,025.07/2,541.84
  6. Step 6: Final answer
    x = 2,204.32

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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.