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Finding the Fourth Proportional to 1,484.34, 2,221.83 and 833.10

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Solution

The fourth proportional to 1,484.34, 2,221.83 and 833.10 is: 1,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.34 : 2,221.83 = 833.10 : x
  2. Step 2: Convert to fraction form
    1,484.34/2,221.83 = 833.10/x
  3. Step 3: Cross multiply
    1,484.34x = 2,221.83 × 833.10
  4. Step 4: Simplify right side
    1,484.34x = 1,851,006.57
  5. Step 5: Solve for x
    x = 1,851,006.57/1,484.34
  6. Step 6: Final answer
    x = 1,247.02

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