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Finding the Fourth Proportional to 1,855.60, 2,560.78 and 1,016.36

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Solution

The fourth proportional to 1,855.60, 2,560.78 and 1,016.36 is: 1,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.60 : 2,560.78 = 1,016.36 : x
  2. Step 2: Convert to fraction form
    1,855.60/2,560.78 = 1,016.36/x
  3. Step 3: Cross multiply
    1,855.60x = 2,560.78 × 1,016.36
  4. Step 4: Simplify right side
    1,855.60x = 2,602,674.36
  5. Step 5: Solve for x
    x = 2,602,674.36/1,855.60
  6. Step 6: Final answer
    x = 1,402.61

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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.