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Finding the Fourth Proportional to 1,941.70, 2,907.69 and 1,013.98

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Solution

The fourth proportional to 1,941.70, 2,907.69 and 1,013.98 is: 1,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.70 : 2,907.69 = 1,013.98 : x
  2. Step 2: Convert to fraction form
    1,941.70/2,907.69 = 1,013.98/x
  3. Step 3: Cross multiply
    1,941.70x = 2,907.69 × 1,013.98
  4. Step 4: Simplify right side
    1,941.70x = 2,948,339.51
  5. Step 5: Solve for x
    x = 2,948,339.51/1,941.70
  6. Step 6: Final answer
    x = 1,518.43

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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.