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Finding the Fourth Proportional to 2,002.79, 3,004.59 and 705.17

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Solution

The fourth proportional to 2,002.79, 3,004.59 and 705.17 is: 1,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.79 : 3,004.59 = 705.17 : x
  2. Step 2: Convert to fraction form
    2,002.79/3,004.59 = 705.17/x
  3. Step 3: Cross multiply
    2,002.79x = 3,004.59 × 705.17
  4. Step 4: Simplify right side
    2,002.79x = 2,118,746.73
  5. Step 5: Solve for x
    x = 2,118,746.73/2,002.79
  6. Step 6: Final answer
    x = 1,057.90

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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.