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Finding the Fourth Proportional to 2,021.04, 3,030.84 and 722.16

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Solution

The fourth proportional to 2,021.04, 3,030.84 and 722.16 is: 1,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.04 : 3,030.84 = 722.16 : x
  2. Step 2: Convert to fraction form
    2,021.04/3,030.84 = 722.16/x
  3. Step 3: Cross multiply
    2,021.04x = 3,030.84 × 722.16
  4. Step 4: Simplify right side
    2,021.04x = 2,188,751.41
  5. Step 5: Solve for x
    x = 2,188,751.41/2,021.04
  6. Step 6: Final answer
    x = 1,082.98

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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.