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Finding the Fourth Proportional to 2,038.06, 3,055.29 and 883.18

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Solution

The fourth proportional to 2,038.06, 3,055.29 and 883.18 is: 1,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.06 : 3,055.29 = 883.18 : x
  2. Step 2: Convert to fraction form
    2,038.06/3,055.29 = 883.18/x
  3. Step 3: Cross multiply
    2,038.06x = 3,055.29 × 883.18
  4. Step 4: Simplify right side
    2,038.06x = 2,698,371.02
  5. Step 5: Solve for x
    x = 2,698,371.02/2,038.06
  6. Step 6: Final answer
    x = 1,323.99

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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.