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Finding the Fourth Proportional to 1,625.68, 2,438.72 and 701.47

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Solution

The fourth proportional to 1,625.68, 2,438.72 and 701.47 is: 1,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.68 : 2,438.72 = 701.47 : x
  2. Step 2: Convert to fraction form
    1,625.68/2,438.72 = 701.47/x
  3. Step 3: Cross multiply
    1,625.68x = 2,438.72 × 701.47
  4. Step 4: Simplify right side
    1,625.68x = 1,710,673.22
  5. Step 5: Solve for x
    x = 1,710,673.22/1,625.68
  6. Step 6: Final answer
    x = 1,052.28

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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.