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Finding the Fourth Proportional to 2,681.51, 4,015.35 and 1,586.66

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Solution

The fourth proportional to 2,681.51, 4,015.35 and 1,586.66 is: 2,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.51 : 4,015.35 = 1,586.66 : x
  2. Step 2: Convert to fraction form
    2,681.51/4,015.35 = 1,586.66/x
  3. Step 3: Cross multiply
    2,681.51x = 4,015.35 × 1,586.66
  4. Step 4: Simplify right side
    2,681.51x = 6,370,975.15
  5. Step 5: Solve for x
    x = 6,370,975.15/2,681.51
  6. Step 6: Final answer
    x = 2,375.90

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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.