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Finding the Fourth Proportional to 2,754.34, 3,802.47 and 2,123.49

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Solution

The fourth proportional to 2,754.34, 3,802.47 and 2,123.49 is: 2,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.34 : 3,802.47 = 2,123.49 : x
  2. Step 2: Convert to fraction form
    2,754.34/3,802.47 = 2,123.49/x
  3. Step 3: Cross multiply
    2,754.34x = 3,802.47 × 2,123.49
  4. Step 4: Simplify right side
    2,754.34x = 8,074,507.02
  5. Step 5: Solve for x
    x = 8,074,507.02/2,754.34
  6. Step 6: Final answer
    x = 2,931.56

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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.