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Finding the Fourth Proportional to 1,625.36, 2,434.80 and 1,007.60

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Solution

The fourth proportional to 1,625.36, 2,434.80 and 1,007.60 is: 1,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.36 : 2,434.80 = 1,007.60 : x
  2. Step 2: Convert to fraction form
    1,625.36/2,434.80 = 1,007.60/x
  3. Step 3: Cross multiply
    1,625.36x = 2,434.80 × 1,007.60
  4. Step 4: Simplify right side
    1,625.36x = 2,453,304.48
  5. Step 5: Solve for x
    x = 2,453,304.48/1,625.36
  6. Step 6: Final answer
    x = 1,509.39

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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.