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Finding the Fourth Proportional to 2,798, 4,197.66 and 1,043.06

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Solution

The fourth proportional to 2,798, 4,197.66 and 1,043.06 is: 1,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798 : 4,197.66 = 1,043.06 : x
  2. Step 2: Convert to fraction form
    2,798/4,197.66 = 1,043.06/x
  3. Step 3: Cross multiply
    2,798x = 4,197.66 × 1,043.06
  4. Step 4: Simplify right side
    2,798x = 4,378,411.24
  5. Step 5: Solve for x
    x = 4,378,411.24/2,798
  6. Step 6: Final answer
    x = 1,564.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.