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Finding the Fourth Proportional to 1,301.84, 1,949.98 and 1,053.98

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Solution

The fourth proportional to 1,301.84, 1,949.98 and 1,053.98 is: 1,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.84 : 1,949.98 = 1,053.98 : x
  2. Step 2: Convert to fraction form
    1,301.84/1,949.98 = 1,053.98/x
  3. Step 3: Cross multiply
    1,301.84x = 1,949.98 × 1,053.98
  4. Step 4: Simplify right side
    1,301.84x = 2,055,239.92
  5. Step 5: Solve for x
    x = 2,055,239.92/1,301.84
  6. Step 6: Final answer
    x = 1,578.72

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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.