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Finding the Fourth Proportional to 2,030.42, 2,801.46 and 1,764.44

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Solution

The fourth proportional to 2,030.42, 2,801.46 and 1,764.44 is: 2,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.42 : 2,801.46 = 1,764.44 : x
  2. Step 2: Convert to fraction form
    2,030.42/2,801.46 = 1,764.44/x
  3. Step 3: Cross multiply
    2,030.42x = 2,801.46 × 1,764.44
  4. Step 4: Simplify right side
    2,030.42x = 4,943,008.08
  5. Step 5: Solve for x
    x = 4,943,008.08/2,030.42
  6. Step 6: Final answer
    x = 2,434.48

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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.