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Finding the Fourth Proportional to 1,625.87, 2,438.46 and 701.18

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Solution

The fourth proportional to 1,625.87, 2,438.46 and 701.18 is: 1,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.87 : 2,438.46 = 701.18 : x
  2. Step 2: Convert to fraction form
    1,625.87/2,438.46 = 701.18/x
  3. Step 3: Cross multiply
    1,625.87x = 2,438.46 × 701.18
  4. Step 4: Simplify right side
    1,625.87x = 1,709,787.19
  5. Step 5: Solve for x
    x = 1,709,787.19/1,625.87
  6. Step 6: Final answer
    x = 1,051.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.