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Finding the Fourth Proportional to 2,024.09, 2,775.14 and 1,999.18

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Solution

The fourth proportional to 2,024.09, 2,775.14 and 1,999.18 is: 2,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.09 : 2,775.14 = 1,999.18 : x
  2. Step 2: Convert to fraction form
    2,024.09/2,775.14 = 1,999.18/x
  3. Step 3: Cross multiply
    2,024.09x = 2,775.14 × 1,999.18
  4. Step 4: Simplify right side
    2,024.09x = 5,547,990.51
  5. Step 5: Solve for x
    x = 5,547,990.51/2,024.09
  6. Step 6: Final answer
    x = 2,740.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.