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Finding the Fourth Proportional to 2,142.55, 2,955.78 and 1,396.63

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Solution

The fourth proportional to 2,142.55, 2,955.78 and 1,396.63 is: 1,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.55 : 2,955.78 = 1,396.63 : x
  2. Step 2: Convert to fraction form
    2,142.55/2,955.78 = 1,396.63/x
  3. Step 3: Cross multiply
    2,142.55x = 2,955.78 × 1,396.63
  4. Step 4: Simplify right side
    2,142.55x = 4,128,131.02
  5. Step 5: Solve for x
    x = 4,128,131.02/2,142.55
  6. Step 6: Final answer
    x = 1,926.74

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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.