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Finding the Fourth Proportional to 2,123.40, 2,930.54 and 2,055.36

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Solution

The fourth proportional to 2,123.40, 2,930.54 and 2,055.36 is: 2,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.40 : 2,930.54 = 2,055.36 : x
  2. Step 2: Convert to fraction form
    2,123.40/2,930.54 = 2,055.36/x
  3. Step 3: Cross multiply
    2,123.40x = 2,930.54 × 2,055.36
  4. Step 4: Simplify right side
    2,123.40x = 6,023,304.42
  5. Step 5: Solve for x
    x = 6,023,304.42/2,123.40
  6. Step 6: Final answer
    x = 2,836.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.