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Finding the Fourth Proportional to 2,675.51, 4,014.63 and 1,214.49

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Solution

The fourth proportional to 2,675.51, 4,014.63 and 1,214.49 is: 1,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.51 : 4,014.63 = 1,214.49 : x
  2. Step 2: Convert to fraction form
    2,675.51/4,014.63 = 1,214.49/x
  3. Step 3: Cross multiply
    2,675.51x = 4,014.63 × 1,214.49
  4. Step 4: Simplify right side
    2,675.51x = 4,875,727.99
  5. Step 5: Solve for x
    x = 4,875,727.99/2,675.51
  6. Step 6: Final answer
    x = 1,822.36

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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.