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Finding the Fourth Proportional to 2,754.47, 3,802.65 and 2,123.61

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Solution

The fourth proportional to 2,754.47, 3,802.65 and 2,123.61 is: 2,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.47 : 3,802.65 = 2,123.61 : x
  2. Step 2: Convert to fraction form
    2,754.47/3,802.65 = 2,123.61/x
  3. Step 3: Cross multiply
    2,754.47x = 3,802.65 × 2,123.61
  4. Step 4: Simplify right side
    2,754.47x = 8,075,334.95
  5. Step 5: Solve for x
    x = 8,075,334.95/2,754.47
  6. Step 6: Final answer
    x = 2,931.73

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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.