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Finding the Fourth Proportional to 2,083.71, 2,869.69 and 2,038.35

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Solution

The fourth proportional to 2,083.71, 2,869.69 and 2,038.35 is: 2,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.71 : 2,869.69 = 2,038.35 : x
  2. Step 2: Convert to fraction form
    2,083.71/2,869.69 = 2,038.35/x
  3. Step 3: Cross multiply
    2,083.71x = 2,869.69 × 2,038.35
  4. Step 4: Simplify right side
    2,083.71x = 5,849,439.79
  5. Step 5: Solve for x
    x = 5,849,439.79/2,083.71
  6. Step 6: Final answer
    x = 2,807.22

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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.