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Finding the Fourth Proportional to 2,111.76, 2,913.12 and 1,272

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Solution

The fourth proportional to 2,111.76, 2,913.12 and 1,272 is: 1,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.76 : 2,913.12 = 1,272 : x
  2. Step 2: Convert to fraction form
    2,111.76/2,913.12 = 1,272/x
  3. Step 3: Cross multiply
    2,111.76x = 2,913.12 × 1,272
  4. Step 4: Simplify right side
    2,111.76x = 3,705,488.64
  5. Step 5: Solve for x
    x = 3,705,488.64/2,111.76
  6. Step 6: Final answer
    x = 1,754.69

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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.