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Finding the Fourth Proportional to 1,603.25, 2,210.69 and 1,314.92

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Solution

The fourth proportional to 1,603.25, 2,210.69 and 1,314.92 is: 1,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.25 : 2,210.69 = 1,314.92 : x
  2. Step 2: Convert to fraction form
    1,603.25/2,210.69 = 1,314.92/x
  3. Step 3: Cross multiply
    1,603.25x = 2,210.69 × 1,314.92
  4. Step 4: Simplify right side
    1,603.25x = 2,906,889.31
  5. Step 5: Solve for x
    x = 2,906,889.31/1,603.25
  6. Step 6: Final answer
    x = 1,813.13

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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.