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Finding the Fourth Proportional to 1,496.07, 2,243.00 and 872.10

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Solution

The fourth proportional to 1,496.07, 2,243.00 and 872.10 is: 1,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.07 : 2,243.00 = 872.10 : x
  2. Step 2: Convert to fraction form
    1,496.07/2,243.00 = 872.10/x
  3. Step 3: Cross multiply
    1,496.07x = 2,243.00 × 872.10
  4. Step 4: Simplify right side
    1,496.07x = 1,956,122.48
  5. Step 5: Solve for x
    x = 1,956,122.48/1,496.07
  6. Step 6: Final answer
    x = 1,307.51

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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.