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Finding the Fourth Proportional to 1,308.76, 1,806.02 and 1,204.28

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Solution

The fourth proportional to 1,308.76, 1,806.02 and 1,204.28 is: 1,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.76 : 1,806.02 = 1,204.28 : x
  2. Step 2: Convert to fraction form
    1,308.76/1,806.02 = 1,204.28/x
  3. Step 3: Cross multiply
    1,308.76x = 1,806.02 × 1,204.28
  4. Step 4: Simplify right side
    1,308.76x = 2,174,953.77
  5. Step 5: Solve for x
    x = 2,174,953.77/1,308.76
  6. Step 6: Final answer
    x = 1,661.84

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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.