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Finding the Fourth Proportional to 1,606.35, 2,395.97 and 1,464.87

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Solution

The fourth proportional to 1,606.35, 2,395.97 and 1,464.87 is: 2,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.35 : 2,395.97 = 1,464.87 : x
  2. Step 2: Convert to fraction form
    1,606.35/2,395.97 = 1,464.87/x
  3. Step 3: Cross multiply
    1,606.35x = 2,395.97 × 1,464.87
  4. Step 4: Simplify right side
    1,606.35x = 3,509,788.24
  5. Step 5: Solve for x
    x = 3,509,788.24/1,606.35
  6. Step 6: Final answer
    x = 2,184.95

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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.