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Finding the Fourth Proportional to 2,038.49, 3,056.70 and 722.04

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Solution

The fourth proportional to 2,038.49, 3,056.70 and 722.04 is: 1,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.49 : 3,056.70 = 722.04 : x
  2. Step 2: Convert to fraction form
    2,038.49/3,056.70 = 722.04/x
  3. Step 3: Cross multiply
    2,038.49x = 3,056.70 × 722.04
  4. Step 4: Simplify right side
    2,038.49x = 2,207,059.67
  5. Step 5: Solve for x
    x = 2,207,059.67/2,038.49
  6. Step 6: Final answer
    x = 1,082.70

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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.