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Finding the Fourth Proportional to 1,625.72, 2,439.36 and 1,009.26

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Solution

The fourth proportional to 1,625.72, 2,439.36 and 1,009.26 is: 1,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.72 : 2,439.36 = 1,009.26 : x
  2. Step 2: Convert to fraction form
    1,625.72/2,439.36 = 1,009.26/x
  3. Step 3: Cross multiply
    1,625.72x = 2,439.36 × 1,009.26
  4. Step 4: Simplify right side
    1,625.72x = 2,461,948.47
  5. Step 5: Solve for x
    x = 2,461,948.47/1,625.72
  6. Step 6: Final answer
    x = 1,514.38

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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.