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Finding the Fourth Proportional to 1,856.44, 2,561.85 and 1,017.13

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Solution

The fourth proportional to 1,856.44, 2,561.85 and 1,017.13 is: 1,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.44 : 2,561.85 = 1,017.13 : x
  2. Step 2: Convert to fraction form
    1,856.44/2,561.85 = 1,017.13/x
  3. Step 3: Cross multiply
    1,856.44x = 2,561.85 × 1,017.13
  4. Step 4: Simplify right side
    1,856.44x = 2,605,742.96
  5. Step 5: Solve for x
    x = 2,605,742.96/1,856.44
  6. Step 6: Final answer
    x = 1,403.62

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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.