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Finding the Fourth Proportional to 1,644.52, 2,270.10 and 1,121.08

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Solution

The fourth proportional to 1,644.52, 2,270.10 and 1,121.08 is: 1,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.52 : 2,270.10 = 1,121.08 : x
  2. Step 2: Convert to fraction form
    1,644.52/2,270.10 = 1,121.08/x
  3. Step 3: Cross multiply
    1,644.52x = 2,270.10 × 1,121.08
  4. Step 4: Simplify right side
    1,644.52x = 2,544,963.71
  5. Step 5: Solve for x
    x = 2,544,963.71/1,644.52
  6. Step 6: Final answer
    x = 1,547.54

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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.