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Finding the Fourth Proportional to 2,057.58, 2,840.61 and 1,360.17

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Solution

The fourth proportional to 2,057.58, 2,840.61 and 1,360.17 is: 1,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.58 : 2,840.61 = 1,360.17 : x
  2. Step 2: Convert to fraction form
    2,057.58/2,840.61 = 1,360.17/x
  3. Step 3: Cross multiply
    2,057.58x = 2,840.61 × 1,360.17
  4. Step 4: Simplify right side
    2,057.58x = 3,863,712.50
  5. Step 5: Solve for x
    x = 3,863,712.50/2,057.58
  6. Step 6: Final answer
    x = 1,877.79

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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.