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Finding the Fourth Proportional to 2,407.44, 3,612.36 and 1,763.48

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Solution

The fourth proportional to 2,407.44, 3,612.36 and 1,763.48 is: 2,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.44 : 3,612.36 = 1,763.48 : x
  2. Step 2: Convert to fraction form
    2,407.44/3,612.36 = 1,763.48/x
  3. Step 3: Cross multiply
    2,407.44x = 3,612.36 × 1,763.48
  4. Step 4: Simplify right side
    2,407.44x = 6,370,324.61
  5. Step 5: Solve for x
    x = 6,370,324.61/2,407.44
  6. Step 6: Final answer
    x = 2,646.10

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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.