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Finding the Fourth Proportional to 2,165.23, 2,990.01 and 1,929.22

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Solution

The fourth proportional to 2,165.23, 2,990.01 and 1,929.22 is: 2,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.23 : 2,990.01 = 1,929.22 : x
  2. Step 2: Convert to fraction form
    2,165.23/2,990.01 = 1,929.22/x
  3. Step 3: Cross multiply
    2,165.23x = 2,990.01 × 1,929.22
  4. Step 4: Simplify right side
    2,165.23x = 5,768,386.85
  5. Step 5: Solve for x
    x = 5,768,386.85/2,165.23
  6. Step 6: Final answer
    x = 2,664.10

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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.