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Finding the Fourth Proportional to 1,856.83, 2,561.87 and 1,060.13

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Solution

The fourth proportional to 1,856.83, 2,561.87 and 1,060.13 is: 1,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.83 : 2,561.87 = 1,060.13 : x
  2. Step 2: Convert to fraction form
    1,856.83/2,561.87 = 1,060.13/x
  3. Step 3: Cross multiply
    1,856.83x = 2,561.87 × 1,060.13
  4. Step 4: Simplify right side
    1,856.83x = 2,715,905.08
  5. Step 5: Solve for x
    x = 2,715,905.08/1,856.83
  6. Step 6: Final answer
    x = 1,462.66

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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.