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Finding the Fourth Proportional to 1,511.08, 2,085.76 and 881.76

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Solution

The fourth proportional to 1,511.08, 2,085.76 and 881.76 is: 1,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.08 : 2,085.76 = 881.76 : x
  2. Step 2: Convert to fraction form
    1,511.08/2,085.76 = 881.76/x
  3. Step 3: Cross multiply
    1,511.08x = 2,085.76 × 881.76
  4. Step 4: Simplify right side
    1,511.08x = 1,839,139.74
  5. Step 5: Solve for x
    x = 1,839,139.74/1,511.08
  6. Step 6: Final answer
    x = 1,217.10

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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.