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Finding the Fourth Proportional to 2,646.37, 3,649.93 and 1,760.64

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Solution

The fourth proportional to 2,646.37, 3,649.93 and 1,760.64 is: 2,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.37 : 3,649.93 = 1,760.64 : x
  2. Step 2: Convert to fraction form
    2,646.37/3,649.93 = 1,760.64/x
  3. Step 3: Cross multiply
    2,646.37x = 3,649.93 × 1,760.64
  4. Step 4: Simplify right side
    2,646.37x = 6,426,212.76
  5. Step 5: Solve for x
    x = 6,426,212.76/2,646.37
  6. Step 6: Final answer
    x = 2,428.31

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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.