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Finding the Fourth Proportional to 2,509.12, 3,461.42 and 1,625.22

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Solution

The fourth proportional to 2,509.12, 3,461.42 and 1,625.22 is: 2,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.12 : 3,461.42 = 1,625.22 : x
  2. Step 2: Convert to fraction form
    2,509.12/3,461.42 = 1,625.22/x
  3. Step 3: Cross multiply
    2,509.12x = 3,461.42 × 1,625.22
  4. Step 4: Simplify right side
    2,509.12x = 5,625,569.01
  5. Step 5: Solve for x
    x = 5,625,569.01/2,509.12
  6. Step 6: Final answer
    x = 2,242.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.