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Finding the Fourth Proportional to 2,053.19, 3,081.17 and 957.66

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Solution

The fourth proportional to 2,053.19, 3,081.17 and 957.66 is: 1,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.19 : 3,081.17 = 957.66 : x
  2. Step 2: Convert to fraction form
    2,053.19/3,081.17 = 957.66/x
  3. Step 3: Cross multiply
    2,053.19x = 3,081.17 × 957.66
  4. Step 4: Simplify right side
    2,053.19x = 2,950,713.26
  5. Step 5: Solve for x
    x = 2,950,713.26/2,053.19
  6. Step 6: Final answer
    x = 1,437.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.