Home / 1,465.29-2,022.12-802.17

Finding the Fourth Proportional to 1,465.29, 2,022.12 and 802.17

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Solution

The fourth proportional to 1,465.29, 2,022.12 and 802.17 is: 1,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.29 : 2,022.12 = 802.17 : x
  2. Step 2: Convert to fraction form
    1,465.29/2,022.12 = 802.17/x
  3. Step 3: Cross multiply
    1,465.29x = 2,022.12 × 802.17
  4. Step 4: Simplify right side
    1,465.29x = 1,622,084.00
  5. Step 5: Solve for x
    x = 1,622,084.00/1,465.29
  6. Step 6: Final answer
    x = 1,107.01

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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.