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Finding the Fourth Proportional to 1,606.54, 2,396.25 and 1,465.06

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Solution

The fourth proportional to 1,606.54, 2,396.25 and 1,465.06 is: 2,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.54 : 2,396.25 = 1,465.06 : x
  2. Step 2: Convert to fraction form
    1,606.54/2,396.25 = 1,465.06/x
  3. Step 3: Cross multiply
    1,606.54x = 2,396.25 × 1,465.06
  4. Step 4: Simplify right side
    1,606.54x = 3,510,649.53
  5. Step 5: Solve for x
    x = 3,510,649.53/1,606.54
  6. Step 6: Final answer
    x = 2,185.23

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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.