Home / 1,569.62-2,165.46-1,097.40

Finding the Fourth Proportional to 1,569.62, 2,165.46 and 1,097.40

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Solution

The fourth proportional to 1,569.62, 2,165.46 and 1,097.40 is: 1,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.62 : 2,165.46 = 1,097.40 : x
  2. Step 2: Convert to fraction form
    1,569.62/2,165.46 = 1,097.40/x
  3. Step 3: Cross multiply
    1,569.62x = 2,165.46 × 1,097.40
  4. Step 4: Simplify right side
    1,569.62x = 2,376,375.80
  5. Step 5: Solve for x
    x = 2,376,375.80/1,569.62
  6. Step 6: Final answer
    x = 1,513.98

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1.5x scale

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.