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Finding the Fourth Proportional to 1,736, 2,604.42 and 710

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Solution

The fourth proportional to 1,736, 2,604.42 and 710 is: 1,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736 : 2,604.42 = 710 : x
  2. Step 2: Convert to fraction form
    1,736/2,604.42 = 710/x
  3. Step 3: Cross multiply
    1,736x = 2,604.42 × 710
  4. Step 4: Simplify right side
    1,736x = 1,849,138.20
  5. Step 5: Solve for x
    x = 1,849,138.20/1,736
  6. Step 6: Final answer
    x = 1,065.17

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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.