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Finding the Fourth Proportional to 2,074.87, 3,110.05 and 1,021.40

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Solution

The fourth proportional to 2,074.87, 3,110.05 and 1,021.40 is: 1,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.87 : 3,110.05 = 1,021.40 : x
  2. Step 2: Convert to fraction form
    2,074.87/3,110.05 = 1,021.40/x
  3. Step 3: Cross multiply
    2,074.87x = 3,110.05 × 1,021.40
  4. Step 4: Simplify right side
    2,074.87x = 3,176,619.95
  5. Step 5: Solve for x
    x = 3,176,619.95/2,074.87
  6. Step 6: Final answer
    x = 1,531.00

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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.