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Finding the Fourth Proportional to 1,927.40, 2,658.42 and 1,229

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Solution

The fourth proportional to 1,927.40, 2,658.42 and 1,229 is: 1,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.40 : 2,658.42 = 1,229 : x
  2. Step 2: Convert to fraction form
    1,927.40/2,658.42 = 1,229/x
  3. Step 3: Cross multiply
    1,927.40x = 2,658.42 × 1,229
  4. Step 4: Simplify right side
    1,927.40x = 3,267,198.18
  5. Step 5: Solve for x
    x = 3,267,198.18/1,927.40
  6. Step 6: Final answer
    x = 1,695.13

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