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Finding the Fourth Proportional to 2,693.10, 3,717.75 and 2,030.22

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Solution

The fourth proportional to 2,693.10, 3,717.75 and 2,030.22 is: 2,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.10 : 3,717.75 = 2,030.22 : x
  2. Step 2: Convert to fraction form
    2,693.10/3,717.75 = 2,030.22/x
  3. Step 3: Cross multiply
    2,693.10x = 3,717.75 × 2,030.22
  4. Step 4: Simplify right side
    2,693.10x = 7,547,850.41
  5. Step 5: Solve for x
    x = 7,547,850.41/2,693.10
  6. Step 6: Final answer
    x = 2,802.66

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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.