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Finding the Fourth Proportional to 1,464.69, 2,017.91 and 1,395.57

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Solution

The fourth proportional to 1,464.69, 2,017.91 and 1,395.57 is: 1,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.69 : 2,017.91 = 1,395.57 : x
  2. Step 2: Convert to fraction form
    1,464.69/2,017.91 = 1,395.57/x
  3. Step 3: Cross multiply
    1,464.69x = 2,017.91 × 1,395.57
  4. Step 4: Simplify right side
    1,464.69x = 2,816,127.68
  5. Step 5: Solve for x
    x = 2,816,127.68/1,464.69
  6. Step 6: Final answer
    x = 1,922.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.