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Finding the Fourth Proportional to 2,705.16, 4,059.10 and 974.60

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Solution

The fourth proportional to 2,705.16, 4,059.10 and 974.60 is: 1,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.16 : 4,059.10 = 974.60 : x
  2. Step 2: Convert to fraction form
    2,705.16/4,059.10 = 974.60/x
  3. Step 3: Cross multiply
    2,705.16x = 4,059.10 × 974.60
  4. Step 4: Simplify right side
    2,705.16x = 3,955,998.86
  5. Step 5: Solve for x
    x = 3,955,998.86/2,705.16
  6. Step 6: Final answer
    x = 1,462.39

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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.