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Finding the Fourth Proportional to 1,605.36, 2,396.54 and 1,534.44

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Solution

The fourth proportional to 1,605.36, 2,396.54 and 1,534.44 is: 2,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.36 : 2,396.54 = 1,534.44 : x
  2. Step 2: Convert to fraction form
    1,605.36/2,396.54 = 1,534.44/x
  3. Step 3: Cross multiply
    1,605.36x = 2,396.54 × 1,534.44
  4. Step 4: Simplify right side
    1,605.36x = 3,677,339.17
  5. Step 5: Solve for x
    x = 3,677,339.17/1,605.36
  6. Step 6: Final answer
    x = 2,290.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.