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Finding the Fourth Proportional to 2,070.80, 3,102.96 and 974.96

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Solution

The fourth proportional to 2,070.80, 3,102.96 and 974.96 is: 1,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.80 : 3,102.96 = 974.96 : x
  2. Step 2: Convert to fraction form
    2,070.80/3,102.96 = 974.96/x
  3. Step 3: Cross multiply
    2,070.80x = 3,102.96 × 974.96
  4. Step 4: Simplify right side
    2,070.80x = 3,025,261.88
  5. Step 5: Solve for x
    x = 3,025,261.88/2,070.80
  6. Step 6: Final answer
    x = 1,460.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.