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Finding the Fourth Proportional to 2,130.93, 2,940.63 and 1,186.68

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Solution

The fourth proportional to 2,130.93, 2,940.63 and 1,186.68 is: 1,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.93 : 2,940.63 = 1,186.68 : x
  2. Step 2: Convert to fraction form
    2,130.93/2,940.63 = 1,186.68/x
  3. Step 3: Cross multiply
    2,130.93x = 2,940.63 × 1,186.68
  4. Step 4: Simplify right side
    2,130.93x = 3,489,586.81
  5. Step 5: Solve for x
    x = 3,489,586.81/2,130.93
  6. Step 6: Final answer
    x = 1,637.59

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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.