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Finding the Fourth Proportional to 2,649.36, 3,655.68 and 1,763.64

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Solution

The fourth proportional to 2,649.36, 3,655.68 and 1,763.64 is: 2,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.36 : 3,655.68 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    2,649.36/3,655.68 = 1,763.64/x
  3. Step 3: Cross multiply
    2,649.36x = 3,655.68 × 1,763.64
  4. Step 4: Simplify right side
    2,649.36x = 6,447,303.48
  5. Step 5: Solve for x
    x = 6,447,303.48/2,649.36
  6. Step 6: Final answer
    x = 2,433.53

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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.