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Finding the Fourth Proportional to 1,386.17, 1,913.24 and 855.82

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Solution

The fourth proportional to 1,386.17, 1,913.24 and 855.82 is: 1,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.17 : 1,913.24 = 855.82 : x
  2. Step 2: Convert to fraction form
    1,386.17/1,913.24 = 855.82/x
  3. Step 3: Cross multiply
    1,386.17x = 1,913.24 × 855.82
  4. Step 4: Simplify right side
    1,386.17x = 1,637,386.41
  5. Step 5: Solve for x
    x = 1,637,386.41/1,386.17
  6. Step 6: Final answer
    x = 1,181.23

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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.