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Finding the Fourth Proportional to 3,070.70, 4,598.22 and 2,027.54

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Solution

The fourth proportional to 3,070.70, 4,598.22 and 2,027.54 is: 3,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.70 : 4,598.22 = 2,027.54 : x
  2. Step 2: Convert to fraction form
    3,070.70/4,598.22 = 2,027.54/x
  3. Step 3: Cross multiply
    3,070.70x = 4,598.22 × 2,027.54
  4. Step 4: Simplify right side
    3,070.70x = 9,323,074.98
  5. Step 5: Solve for x
    x = 9,323,074.98/3,070.70
  6. Step 6: Final answer
    x = 3,036.14

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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.