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Finding the Fourth Proportional to 2,530.94, 3,494.30 and 1,649.25

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Solution

The fourth proportional to 2,530.94, 3,494.30 and 1,649.25 is: 2,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.94 : 3,494.30 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    2,530.94/3,494.30 = 1,649.25/x
  3. Step 3: Cross multiply
    2,530.94x = 3,494.30 × 1,649.25
  4. Step 4: Simplify right side
    2,530.94x = 5,762,966.03
  5. Step 5: Solve for x
    x = 5,762,966.03/2,530.94
  6. Step 6: Final answer
    x = 2,277.01

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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.