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Finding the Fourth Proportional to 1,857.41, 2,562.01 and 1,252.77

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Solution

The fourth proportional to 1,857.41, 2,562.01 and 1,252.77 is: 1,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.41 : 2,562.01 = 1,252.77 : x
  2. Step 2: Convert to fraction form
    1,857.41/2,562.01 = 1,252.77/x
  3. Step 3: Cross multiply
    1,857.41x = 2,562.01 × 1,252.77
  4. Step 4: Simplify right side
    1,857.41x = 3,209,609.27
  5. Step 5: Solve for x
    x = 3,209,609.27/1,857.41
  6. Step 6: Final answer
    x = 1,728.00

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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.