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Finding the Fourth Proportional to 2,083.81, 3,126.93 and 1,498.18

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Solution

The fourth proportional to 2,083.81, 3,126.93 and 1,498.18 is: 2,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.81 : 3,126.93 = 1,498.18 : x
  2. Step 2: Convert to fraction form
    2,083.81/3,126.93 = 1,498.18/x
  3. Step 3: Cross multiply
    2,083.81x = 3,126.93 × 1,498.18
  4. Step 4: Simplify right side
    2,083.81x = 4,684,703.99
  5. Step 5: Solve for x
    x = 4,684,703.99/2,083.81
  6. Step 6: Final answer
    x = 2,248.14

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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.