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Finding the Fourth Proportional to 2,701.83, 4,054.01 and 2,658.15

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Solution

The fourth proportional to 2,701.83, 4,054.01 and 2,658.15 is: 3,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.83 : 4,054.01 = 2,658.15 : x
  2. Step 2: Convert to fraction form
    2,701.83/4,054.01 = 2,658.15/x
  3. Step 3: Cross multiply
    2,701.83x = 4,054.01 × 2,658.15
  4. Step 4: Simplify right side
    2,701.83x = 10,776,153.39
  5. Step 5: Solve for x
    x = 10,776,153.39/2,701.83
  6. Step 6: Final answer
    x = 3,988.46

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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.