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Finding the Fourth Proportional to 1,586.10, 2,377.74 and 854.82

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Solution

The fourth proportional to 1,586.10, 2,377.74 and 854.82 is: 1,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.10 : 2,377.74 = 854.82 : x
  2. Step 2: Convert to fraction form
    1,586.10/2,377.74 = 854.82/x
  3. Step 3: Cross multiply
    1,586.10x = 2,377.74 × 854.82
  4. Step 4: Simplify right side
    1,586.10x = 2,032,539.71
  5. Step 5: Solve for x
    x = 2,032,539.71/1,586.10
  6. Step 6: Final answer
    x = 1,281.47

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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.