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Finding the Fourth Proportional to 2,123.47, 2,921.07 and 2,002.51

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Solution

The fourth proportional to 2,123.47, 2,921.07 and 2,002.51 is: 2,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.47 : 2,921.07 = 2,002.51 : x
  2. Step 2: Convert to fraction form
    2,123.47/2,921.07 = 2,002.51/x
  3. Step 3: Cross multiply
    2,123.47x = 2,921.07 × 2,002.51
  4. Step 4: Simplify right side
    2,123.47x = 5,849,471.89
  5. Step 5: Solve for x
    x = 5,849,471.89/2,123.47
  6. Step 6: Final answer
    x = 2,754.68

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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.