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Finding the Fourth Proportional to 1,663.49, 2,295.63 and 917.48

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Solution

The fourth proportional to 1,663.49, 2,295.63 and 917.48 is: 1,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.49 : 2,295.63 = 917.48 : x
  2. Step 2: Convert to fraction form
    1,663.49/2,295.63 = 917.48/x
  3. Step 3: Cross multiply
    1,663.49x = 2,295.63 × 917.48
  4. Step 4: Simplify right side
    1,663.49x = 2,106,183.13
  5. Step 5: Solve for x
    x = 2,106,183.13/1,663.49
  6. Step 6: Final answer
    x = 1,266.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.