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Finding the Fourth Proportional to 1,705.40, 2,558.10 and 1,640.60

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Solution

The fourth proportional to 1,705.40, 2,558.10 and 1,640.60 is: 2,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.40 : 2,558.10 = 1,640.60 : x
  2. Step 2: Convert to fraction form
    1,705.40/2,558.10 = 1,640.60/x
  3. Step 3: Cross multiply
    1,705.40x = 2,558.10 × 1,640.60
  4. Step 4: Simplify right side
    1,705.40x = 4,196,818.86
  5. Step 5: Solve for x
    x = 4,196,818.86/1,705.40
  6. Step 6: Final answer
    x = 2,460.90

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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.