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Finding the Fourth Proportional to 1,725.71, 2,575.29 and 1,541.16

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Solution

The fourth proportional to 1,725.71, 2,575.29 and 1,541.16 is: 2,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.71 : 2,575.29 = 1,541.16 : x
  2. Step 2: Convert to fraction form
    1,725.71/2,575.29 = 1,541.16/x
  3. Step 3: Cross multiply
    1,725.71x = 2,575.29 × 1,541.16
  4. Step 4: Simplify right side
    1,725.71x = 3,968,933.94
  5. Step 5: Solve for x
    x = 3,968,933.94/1,725.71
  6. Step 6: Final answer
    x = 2,299.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.