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Finding the Fourth Proportional to 2,653.55, 3,982.45 and 1,558.83

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Solution

The fourth proportional to 2,653.55, 3,982.45 and 1,558.83 is: 2,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.55 : 3,982.45 = 1,558.83 : x
  2. Step 2: Convert to fraction form
    2,653.55/3,982.45 = 1,558.83/x
  3. Step 3: Cross multiply
    2,653.55x = 3,982.45 × 1,558.83
  4. Step 4: Simplify right side
    2,653.55x = 6,207,962.53
  5. Step 5: Solve for x
    x = 6,207,962.53/2,653.55
  6. Step 6: Final answer
    x = 2,339.49

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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.