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Finding the Fourth Proportional to 2,112.10, 2,911.98 and 1,364.74

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Solution

The fourth proportional to 2,112.10, 2,911.98 and 1,364.74 is: 1,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.10 : 2,911.98 = 1,364.74 : x
  2. Step 2: Convert to fraction form
    2,112.10/2,911.98 = 1,364.74/x
  3. Step 3: Cross multiply
    2,112.10x = 2,911.98 × 1,364.74
  4. Step 4: Simplify right side
    2,112.10x = 3,974,095.59
  5. Step 5: Solve for x
    x = 3,974,095.59/2,112.10
  6. Step 6: Final answer
    x = 1,881.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.