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Finding the Fourth Proportional to 2,038.91, 3,056.91 and 852.91

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Solution

The fourth proportional to 2,038.91, 3,056.91 and 852.91 is: 1,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.91 : 3,056.91 = 852.91 : x
  2. Step 2: Convert to fraction form
    2,038.91/3,056.91 = 852.91/x
  3. Step 3: Cross multiply
    2,038.91x = 3,056.91 × 852.91
  4. Step 4: Simplify right side
    2,038.91x = 2,607,258.27
  5. Step 5: Solve for x
    x = 2,607,258.27/2,038.91
  6. Step 6: Final answer
    x = 1,278.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.