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Finding the Fourth Proportional to 1,840, 2,539.24 and 1,012

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Solution

The fourth proportional to 1,840, 2,539.24 and 1,012 is: 1,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840 : 2,539.24 = 1,012 : x
  2. Step 2: Convert to fraction form
    1,840/2,539.24 = 1,012/x
  3. Step 3: Cross multiply
    1,840x = 2,539.24 × 1,012
  4. Step 4: Simplify right side
    1,840x = 2,569,710.88
  5. Step 5: Solve for x
    x = 2,569,710.88/1,840
  6. Step 6: Final answer
    x = 1,396.58

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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.