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Finding the Fourth Proportional to 1,271.64, 1,905.82 and 1,098.30

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Solution

The fourth proportional to 1,271.64, 1,905.82 and 1,098.30 is: 1,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.64 : 1,905.82 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    1,271.64/1,905.82 = 1,098.30/x
  3. Step 3: Cross multiply
    1,271.64x = 1,905.82 × 1,098.30
  4. Step 4: Simplify right side
    1,271.64x = 2,093,162.11
  5. Step 5: Solve for x
    x = 2,093,162.11/1,271.64
  6. Step 6: Final answer
    x = 1,646.03

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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.