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Finding the Fourth Proportional to 2,130.96, 2,940.64 and 1,186.67

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Solution

The fourth proportional to 2,130.96, 2,940.64 and 1,186.67 is: 1,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.96 : 2,940.64 = 1,186.67 : x
  2. Step 2: Convert to fraction form
    2,130.96/2,940.64 = 1,186.67/x
  3. Step 3: Cross multiply
    2,130.96x = 2,940.64 × 1,186.67
  4. Step 4: Simplify right side
    2,130.96x = 3,489,573.65
  5. Step 5: Solve for x
    x = 3,489,573.65/2,130.96
  6. Step 6: Final answer
    x = 1,637.56

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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.