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Finding the Fourth Proportional to 3,030.28, 4,540.86 and 2,053

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Solution

The fourth proportional to 3,030.28, 4,540.86 and 2,053 is: 3,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.28 : 4,540.86 = 2,053 : x
  2. Step 2: Convert to fraction form
    3,030.28/4,540.86 = 2,053/x
  3. Step 3: Cross multiply
    3,030.28x = 4,540.86 × 2,053
  4. Step 4: Simplify right side
    3,030.28x = 9,322,385.58
  5. Step 5: Solve for x
    x = 9,322,385.58/3,030.28
  6. Step 6: Final answer
    x = 3,076.41

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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.