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Finding the Fourth Proportional to 1,931.90, 2,665.03 and 1,222.54

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Solution

The fourth proportional to 1,931.90, 2,665.03 and 1,222.54 is: 1,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.90 : 2,665.03 = 1,222.54 : x
  2. Step 2: Convert to fraction form
    1,931.90/2,665.03 = 1,222.54/x
  3. Step 3: Cross multiply
    1,931.90x = 2,665.03 × 1,222.54
  4. Step 4: Simplify right side
    1,931.90x = 3,258,109.90
  5. Step 5: Solve for x
    x = 3,258,109.90/1,931.90
  6. Step 6: Final answer
    x = 1,686.48

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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.