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Finding the Fourth Proportional to 2,047.98, 3,070.70 and 950.94

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Solution

The fourth proportional to 2,047.98, 3,070.70 and 950.94 is: 1,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.98 : 3,070.70 = 950.94 : x
  2. Step 2: Convert to fraction form
    2,047.98/3,070.70 = 950.94/x
  3. Step 3: Cross multiply
    2,047.98x = 3,070.70 × 950.94
  4. Step 4: Simplify right side
    2,047.98x = 2,920,051.46
  5. Step 5: Solve for x
    x = 2,920,051.46/2,047.98
  6. Step 6: Final answer
    x = 1,425.82

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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.