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Finding the Fourth Proportional to 1,856.82, 2,562.93 and 1,828.74

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Solution

The fourth proportional to 1,856.82, 2,562.93 and 1,828.74 is: 2,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.82 : 2,562.93 = 1,828.74 : x
  2. Step 2: Convert to fraction form
    1,856.82/2,562.93 = 1,828.74/x
  3. Step 3: Cross multiply
    1,856.82x = 2,562.93 × 1,828.74
  4. Step 4: Simplify right side
    1,856.82x = 4,686,932.61
  5. Step 5: Solve for x
    x = 4,686,932.61/1,856.82
  6. Step 6: Final answer
    x = 2,524.17

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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.