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Finding the Fourth Proportional to 1,497.01, 2,244.76 and 872.51

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Solution

The fourth proportional to 1,497.01, 2,244.76 and 872.51 is: 1,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.01 : 2,244.76 = 872.51 : x
  2. Step 2: Convert to fraction form
    1,497.01/2,244.76 = 872.51/x
  3. Step 3: Cross multiply
    1,497.01x = 2,244.76 × 872.51
  4. Step 4: Simplify right side
    1,497.01x = 1,958,575.47
  5. Step 5: Solve for x
    x = 1,958,575.47/1,497.01
  6. Step 6: Final answer
    x = 1,308.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.