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Finding the Fourth Proportional to 1,511.77, 2,087.57 and 953.17

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Solution

The fourth proportional to 1,511.77, 2,087.57 and 953.17 is: 1,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.77 : 2,087.57 = 953.17 : x
  2. Step 2: Convert to fraction form
    1,511.77/2,087.57 = 953.17/x
  3. Step 3: Cross multiply
    1,511.77x = 2,087.57 × 953.17
  4. Step 4: Simplify right side
    1,511.77x = 1,989,814.09
  5. Step 5: Solve for x
    x = 1,989,814.09/1,511.77
  6. Step 6: Final answer
    x = 1,316.22

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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.