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Finding the Fourth Proportional to 1,663.14, 2,496.24 and 841.99

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Solution

The fourth proportional to 1,663.14, 2,496.24 and 841.99 is: 1,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.14 : 2,496.24 = 841.99 : x
  2. Step 2: Convert to fraction form
    1,663.14/2,496.24 = 841.99/x
  3. Step 3: Cross multiply
    1,663.14x = 2,496.24 × 841.99
  4. Step 4: Simplify right side
    1,663.14x = 2,101,809.12
  5. Step 5: Solve for x
    x = 2,101,809.12/1,663.14
  6. Step 6: Final answer
    x = 1,263.76

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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.