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Finding the Fourth Proportional to 1,663.77, 2,296.14 and 917.82

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Solution

The fourth proportional to 1,663.77, 2,296.14 and 917.82 is: 1,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.77 : 2,296.14 = 917.82 : x
  2. Step 2: Convert to fraction form
    1,663.77/2,296.14 = 917.82/x
  3. Step 3: Cross multiply
    1,663.77x = 2,296.14 × 917.82
  4. Step 4: Simplify right side
    1,663.77x = 2,107,443.21
  5. Step 5: Solve for x
    x = 2,107,443.21/1,663.77
  6. Step 6: Final answer
    x = 1,266.67

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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.