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Finding the Fourth Proportional to 2,123.78, 2,931.06 and 1,192.46

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Solution

The fourth proportional to 2,123.78, 2,931.06 and 1,192.46 is: 1,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.78 : 2,931.06 = 1,192.46 : x
  2. Step 2: Convert to fraction form
    2,123.78/2,931.06 = 1,192.46/x
  3. Step 3: Cross multiply
    2,123.78x = 2,931.06 × 1,192.46
  4. Step 4: Simplify right side
    2,123.78x = 3,495,171.81
  5. Step 5: Solve for x
    x = 3,495,171.81/2,123.78
  6. Step 6: Final answer
    x = 1,645.73

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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.