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Finding the Fourth Proportional to 1,511.67, 2,085.57 and 988.01

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Solution

The fourth proportional to 1,511.67, 2,085.57 and 988.01 is: 1,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.67 : 2,085.57 = 988.01 : x
  2. Step 2: Convert to fraction form
    1,511.67/2,085.57 = 988.01/x
  3. Step 3: Cross multiply
    1,511.67x = 2,085.57 × 988.01
  4. Step 4: Simplify right side
    1,511.67x = 2,060,553.59
  5. Step 5: Solve for x
    x = 2,060,553.59/1,511.67
  6. Step 6: Final answer
    x = 1,363.10

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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.