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Finding the Fourth Proportional to 2,038.08, 3,056.26 and 883

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Solution

The fourth proportional to 2,038.08, 3,056.26 and 883 is: 1,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.08 : 3,056.26 = 883 : x
  2. Step 2: Convert to fraction form
    2,038.08/3,056.26 = 883/x
  3. Step 3: Cross multiply
    2,038.08x = 3,056.26 × 883
  4. Step 4: Simplify right side
    2,038.08x = 2,698,677.58
  5. Step 5: Solve for x
    x = 2,698,677.58/2,038.08
  6. Step 6: Final answer
    x = 1,324.13

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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.