Home / 1,569.38-2,164.52-1,097.12

Finding the Fourth Proportional to 1,569.38, 2,164.52 and 1,097.12

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Solution

The fourth proportional to 1,569.38, 2,164.52 and 1,097.12 is: 1,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.38 : 2,164.52 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,569.38/2,164.52 = 1,097.12/x
  3. Step 3: Cross multiply
    1,569.38x = 2,164.52 × 1,097.12
  4. Step 4: Simplify right side
    1,569.38x = 2,374,738.18
  5. Step 5: Solve for x
    x = 2,374,738.18/1,569.38
  6. Step 6: Final answer
    x = 1,513.17

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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.