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Finding the Fourth Proportional to 1,284.03, 1,925.02 and 1,211.58

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Solution

The fourth proportional to 1,284.03, 1,925.02 and 1,211.58 is: 1,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.03 : 1,925.02 = 1,211.58 : x
  2. Step 2: Convert to fraction form
    1,284.03/1,925.02 = 1,211.58/x
  3. Step 3: Cross multiply
    1,284.03x = 1,925.02 × 1,211.58
  4. Step 4: Simplify right side
    1,284.03x = 2,332,315.85
  5. Step 5: Solve for x
    x = 2,332,315.85/1,284.03
  6. Step 6: Final answer
    x = 1,816.41

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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.