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Finding the Fourth Proportional to 2,699.51, 4,049.93 and 2,146.30

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Solution

The fourth proportional to 2,699.51, 4,049.93 and 2,146.30 is: 3,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.51 : 4,049.93 = 2,146.30 : x
  2. Step 2: Convert to fraction form
    2,699.51/4,049.93 = 2,146.30/x
  3. Step 3: Cross multiply
    2,699.51x = 4,049.93 × 2,146.30
  4. Step 4: Simplify right side
    2,699.51x = 8,692,364.76
  5. Step 5: Solve for x
    x = 8,692,364.76/2,699.51
  6. Step 6: Final answer
    x = 3,219.98

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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.