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Finding the Fourth Proportional to 1,856.25, 2,553.93 and 1,606.77

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Solution

The fourth proportional to 1,856.25, 2,553.93 and 1,606.77 is: 2,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.25 : 2,553.93 = 1,606.77 : x
  2. Step 2: Convert to fraction form
    1,856.25/2,553.93 = 1,606.77/x
  3. Step 3: Cross multiply
    1,856.25x = 2,553.93 × 1,606.77
  4. Step 4: Simplify right side
    1,856.25x = 4,103,578.11
  5. Step 5: Solve for x
    x = 4,103,578.11/1,856.25
  6. Step 6: Final answer
    x = 2,210.68

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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.