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Finding the Fourth Proportional to 1,705.34, 2,558.64 and 1,162.64

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Solution

The fourth proportional to 1,705.34, 2,558.64 and 1,162.64 is: 1,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.34 : 2,558.64 = 1,162.64 : x
  2. Step 2: Convert to fraction form
    1,705.34/2,558.64 = 1,162.64/x
  3. Step 3: Cross multiply
    1,705.34x = 2,558.64 × 1,162.64
  4. Step 4: Simplify right side
    1,705.34x = 2,974,777.21
  5. Step 5: Solve for x
    x = 2,974,777.21/1,705.34
  6. Step 6: Final answer
    x = 1,744.39

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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.