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Finding the Fourth Proportional to 2,030.47, 2,802.04 and 1,098.97

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Solution

The fourth proportional to 2,030.47, 2,802.04 and 1,098.97 is: 1,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.47 : 2,802.04 = 1,098.97 : x
  2. Step 2: Convert to fraction form
    2,030.47/2,802.04 = 1,098.97/x
  3. Step 3: Cross multiply
    2,030.47x = 2,802.04 × 1,098.97
  4. Step 4: Simplify right side
    2,030.47x = 3,079,343.89
  5. Step 5: Solve for x
    x = 3,079,343.89/2,030.47
  6. Step 6: Final answer
    x = 1,516.57

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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.