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Finding the Fourth Proportional to 2,131.22, 2,941.04 and 1,199.72

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Solution

The fourth proportional to 2,131.22, 2,941.04 and 1,199.72 is: 1,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.22 : 2,941.04 = 1,199.72 : x
  2. Step 2: Convert to fraction form
    2,131.22/2,941.04 = 1,199.72/x
  3. Step 3: Cross multiply
    2,131.22x = 2,941.04 × 1,199.72
  4. Step 4: Simplify right side
    2,131.22x = 3,528,424.51
  5. Step 5: Solve for x
    x = 3,528,424.51/2,131.22
  6. Step 6: Final answer
    x = 1,655.59

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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.