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Finding the Fourth Proportional to 1,710.70, 2,360.73 and 1,012.30

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Solution

The fourth proportional to 1,710.70, 2,360.73 and 1,012.30 is: 1,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.70 : 2,360.73 = 1,012.30 : x
  2. Step 2: Convert to fraction form
    1,710.70/2,360.73 = 1,012.30/x
  3. Step 3: Cross multiply
    1,710.70x = 2,360.73 × 1,012.30
  4. Step 4: Simplify right side
    1,710.70x = 2,389,766.98
  5. Step 5: Solve for x
    x = 2,389,766.98/1,710.70
  6. Step 6: Final answer
    x = 1,396.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.