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Finding the Fourth Proportional to 2,030.16, 3,044.90 and 797.93

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Solution

The fourth proportional to 2,030.16, 3,044.90 and 797.93 is: 1,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.16 : 3,044.90 = 797.93 : x
  2. Step 2: Convert to fraction form
    2,030.16/3,044.90 = 797.93/x
  3. Step 3: Cross multiply
    2,030.16x = 3,044.90 × 797.93
  4. Step 4: Simplify right side
    2,030.16x = 2,429,607.80
  5. Step 5: Solve for x
    x = 2,429,607.80/2,030.16
  6. Step 6: Final answer
    x = 1,196.75

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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.