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Finding the Fourth Proportional to 1,950.09, 2,923.47 and 853.63

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Solution

The fourth proportional to 1,950.09, 2,923.47 and 853.63 is: 1,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.09 : 2,923.47 = 853.63 : x
  2. Step 2: Convert to fraction form
    1,950.09/2,923.47 = 853.63/x
  3. Step 3: Cross multiply
    1,950.09x = 2,923.47 × 853.63
  4. Step 4: Simplify right side
    1,950.09x = 2,495,561.70
  5. Step 5: Solve for x
    x = 2,495,561.70/1,950.09
  6. Step 6: Final answer
    x = 1,279.72

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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.