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Finding the Fourth Proportional to 2,083.25, 2,877.03 and 1,802.13

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Solution

The fourth proportional to 2,083.25, 2,877.03 and 1,802.13 is: 2,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.25 : 2,877.03 = 1,802.13 : x
  2. Step 2: Convert to fraction form
    2,083.25/2,877.03 = 1,802.13/x
  3. Step 3: Cross multiply
    2,083.25x = 2,877.03 × 1,802.13
  4. Step 4: Simplify right side
    2,083.25x = 5,184,782.07
  5. Step 5: Solve for x
    x = 5,184,782.07/2,083.25
  6. Step 6: Final answer
    x = 2,488.80

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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.