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Finding the Fourth Proportional to 1,803.34, 2,488.55 and 1,006.69

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Solution

The fourth proportional to 1,803.34, 2,488.55 and 1,006.69 is: 1,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.34 : 2,488.55 = 1,006.69 : x
  2. Step 2: Convert to fraction form
    1,803.34/2,488.55 = 1,006.69/x
  3. Step 3: Cross multiply
    1,803.34x = 2,488.55 × 1,006.69
  4. Step 4: Simplify right side
    1,803.34x = 2,505,198.40
  5. Step 5: Solve for x
    x = 2,505,198.40/1,803.34
  6. Step 6: Final answer
    x = 1,389.20

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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.