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Finding the Fourth Proportional to 2,260.34, 3,395.71 and 1,603.85

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Solution

The fourth proportional to 2,260.34, 3,395.71 and 1,603.85 is: 2,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.34 : 3,395.71 = 1,603.85 : x
  2. Step 2: Convert to fraction form
    2,260.34/3,395.71 = 1,603.85/x
  3. Step 3: Cross multiply
    2,260.34x = 3,395.71 × 1,603.85
  4. Step 4: Simplify right side
    2,260.34x = 5,446,194.51
  5. Step 5: Solve for x
    x = 5,446,194.51/2,260.34
  6. Step 6: Final answer
    x = 2,409.46

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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.