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Finding the Fourth Proportional to 1,725.84, 2,581.02 and 1,541.88

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Solution

The fourth proportional to 1,725.84, 2,581.02 and 1,541.88 is: 2,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.84 : 2,581.02 = 1,541.88 : x
  2. Step 2: Convert to fraction form
    1,725.84/2,581.02 = 1,541.88/x
  3. Step 3: Cross multiply
    1,725.84x = 2,581.02 × 1,541.88
  4. Step 4: Simplify right side
    1,725.84x = 3,979,623.12
  5. Step 5: Solve for x
    x = 3,979,623.12/1,725.84
  6. Step 6: Final answer
    x = 2,305.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.