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Finding the Fourth Proportional to 2,012.88, 3,030.47 and 1,576.47

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Solution

The fourth proportional to 2,012.88, 3,030.47 and 1,576.47 is: 2,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.88 : 3,030.47 = 1,576.47 : x
  2. Step 2: Convert to fraction form
    2,012.88/3,030.47 = 1,576.47/x
  3. Step 3: Cross multiply
    2,012.88x = 3,030.47 × 1,576.47
  4. Step 4: Simplify right side
    2,012.88x = 4,777,437.16
  5. Step 5: Solve for x
    x = 4,777,437.16/2,012.88
  6. Step 6: Final answer
    x = 2,373.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.