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Finding the Fourth Proportional to 2,713.60, 4,070.58 and 982

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Solution

The fourth proportional to 2,713.60, 4,070.58 and 982 is: 1,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.60 : 4,070.58 = 982 : x
  2. Step 2: Convert to fraction form
    2,713.60/4,070.58 = 982/x
  3. Step 3: Cross multiply
    2,713.60x = 4,070.58 × 982
  4. Step 4: Simplify right side
    2,713.60x = 3,997,309.56
  5. Step 5: Solve for x
    x = 3,997,309.56/2,713.60
  6. Step 6: Final answer
    x = 1,473.07

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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.