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Finding the Fourth Proportional to 1,884.15, 2,818.02 and 1,102.30

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Solution

The fourth proportional to 1,884.15, 2,818.02 and 1,102.30 is: 1,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.15 : 2,818.02 = 1,102.30 : x
  2. Step 2: Convert to fraction form
    1,884.15/2,818.02 = 1,102.30/x
  3. Step 3: Cross multiply
    1,884.15x = 2,818.02 × 1,102.30
  4. Step 4: Simplify right side
    1,884.15x = 3,106,300.53
  5. Step 5: Solve for x
    x = 3,106,300.53/1,884.15
  6. Step 6: Final answer
    x = 1,648.65

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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.