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Finding the Fourth Proportional to 2,105.46, 3,156.35 and 872.10

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Solution

The fourth proportional to 2,105.46, 3,156.35 and 872.10 is: 1,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.46 : 3,156.35 = 872.10 : x
  2. Step 2: Convert to fraction form
    2,105.46/3,156.35 = 872.10/x
  3. Step 3: Cross multiply
    2,105.46x = 3,156.35 × 872.10
  4. Step 4: Simplify right side
    2,105.46x = 2,752,648.47
  5. Step 5: Solve for x
    x = 2,752,648.47/2,105.46
  6. Step 6: Final answer
    x = 1,307.39

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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.