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Finding the Fourth Proportional to 1,603.80, 2,405.70 and 910.17

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Solution

The fourth proportional to 1,603.80, 2,405.70 and 910.17 is: 1,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.80 : 2,405.70 = 910.17 : x
  2. Step 2: Convert to fraction form
    1,603.80/2,405.70 = 910.17/x
  3. Step 3: Cross multiply
    1,603.80x = 2,405.70 × 910.17
  4. Step 4: Simplify right side
    1,603.80x = 2,189,595.97
  5. Step 5: Solve for x
    x = 2,189,595.97/1,603.80
  6. Step 6: Final answer
    x = 1,365.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.