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Finding the Fourth Proportional to 2,025.69, 3,038.80 and 709.30

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Solution

The fourth proportional to 2,025.69, 3,038.80 and 709.30 is: 1,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.69 : 3,038.80 = 709.30 : x
  2. Step 2: Convert to fraction form
    2,025.69/3,038.80 = 709.30/x
  3. Step 3: Cross multiply
    2,025.69x = 3,038.80 × 709.30
  4. Step 4: Simplify right side
    2,025.69x = 2,155,420.84
  5. Step 5: Solve for x
    x = 2,155,420.84/2,025.69
  6. Step 6: Final answer
    x = 1,064.04

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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.