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Finding the Fourth Proportional to 1,663.95, 2,295.83 and 1,221.08

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Solution

The fourth proportional to 1,663.95, 2,295.83 and 1,221.08 is: 1,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.95 : 2,295.83 = 1,221.08 : x
  2. Step 2: Convert to fraction form
    1,663.95/2,295.83 = 1,221.08/x
  3. Step 3: Cross multiply
    1,663.95x = 2,295.83 × 1,221.08
  4. Step 4: Simplify right side
    1,663.95x = 2,803,385.99
  5. Step 5: Solve for x
    x = 2,803,385.99/1,663.95
  6. Step 6: Final answer
    x = 1,684.78

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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.