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Finding the Fourth Proportional to 1,586.08, 2,184 and 1,388.44

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Solution

The fourth proportional to 1,586.08, 2,184 and 1,388.44 is: 1,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.08 : 2,184 = 1,388.44 : x
  2. Step 2: Convert to fraction form
    1,586.08/2,184 = 1,388.44/x
  3. Step 3: Cross multiply
    1,586.08x = 2,184 × 1,388.44
  4. Step 4: Simplify right side
    1,586.08x = 3,032,352.96
  5. Step 5: Solve for x
    x = 3,032,352.96/1,586.08
  6. Step 6: Final answer
    x = 1,911.85

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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.