Home / 1,465.46-2,022.28-802.27

Finding the Fourth Proportional to 1,465.46, 2,022.28 and 802.27

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Solution

The fourth proportional to 1,465.46, 2,022.28 and 802.27 is: 1,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.46 : 2,022.28 = 802.27 : x
  2. Step 2: Convert to fraction form
    1,465.46/2,022.28 = 802.27/x
  3. Step 3: Cross multiply
    1,465.46x = 2,022.28 × 802.27
  4. Step 4: Simplify right side
    1,465.46x = 1,622,413.92
  5. Step 5: Solve for x
    x = 1,622,413.92/1,465.46
  6. Step 6: Final answer
    x = 1,107.11

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Why These Related Problems?

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