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Finding the Fourth Proportional to 1,397.10, 1,927.67 and 837.36

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Solution

The fourth proportional to 1,397.10, 1,927.67 and 837.36 is: 1,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.10 : 1,927.67 = 837.36 : x
  2. Step 2: Convert to fraction form
    1,397.10/1,927.67 = 837.36/x
  3. Step 3: Cross multiply
    1,397.10x = 1,927.67 × 837.36
  4. Step 4: Simplify right side
    1,397.10x = 1,614,149.56
  5. Step 5: Solve for x
    x = 1,614,149.56/1,397.10
  6. Step 6: Final answer
    x = 1,155.36

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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.