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Finding the Fourth Proportional to 2,329.35, 3,490.95 and 1,710.15

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Solution

The fourth proportional to 2,329.35, 3,490.95 and 1,710.15 is: 2,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.35 : 3,490.95 = 1,710.15 : x
  2. Step 2: Convert to fraction form
    2,329.35/3,490.95 = 1,710.15/x
  3. Step 3: Cross multiply
    2,329.35x = 3,490.95 × 1,710.15
  4. Step 4: Simplify right side
    2,329.35x = 5,970,048.14
  5. Step 5: Solve for x
    x = 5,970,048.14/2,329.35
  6. Step 6: Final answer
    x = 2,562.97

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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.