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Finding the Fourth Proportional to 1,857.34, 2,562.86 and 1,060.76

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Solution

The fourth proportional to 1,857.34, 2,562.86 and 1,060.76 is: 1,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.34 : 2,562.86 = 1,060.76 : x
  2. Step 2: Convert to fraction form
    1,857.34/2,562.86 = 1,060.76/x
  3. Step 3: Cross multiply
    1,857.34x = 2,562.86 × 1,060.76
  4. Step 4: Simplify right side
    1,857.34x = 2,718,579.37
  5. Step 5: Solve for x
    x = 2,718,579.37/1,857.34
  6. Step 6: Final answer
    x = 1,463.70

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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.