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Finding the Fourth Proportional to 2,012.93, 3,017.54 and 1,036.98

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Solution

The fourth proportional to 2,012.93, 3,017.54 and 1,036.98 is: 1,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.93 : 3,017.54 = 1,036.98 : x
  2. Step 2: Convert to fraction form
    2,012.93/3,017.54 = 1,036.98/x
  3. Step 3: Cross multiply
    2,012.93x = 3,017.54 × 1,036.98
  4. Step 4: Simplify right side
    2,012.93x = 3,129,123.44
  5. Step 5: Solve for x
    x = 3,129,123.44/2,012.93
  6. Step 6: Final answer
    x = 1,554.52

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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.