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Finding the Fourth Proportional to 2,140.35, 2,950.72 and 2,093.77

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Solution

The fourth proportional to 2,140.35, 2,950.72 and 2,093.77 is: 2,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.35 : 2,950.72 = 2,093.77 : x
  2. Step 2: Convert to fraction form
    2,140.35/2,950.72 = 2,093.77/x
  3. Step 3: Cross multiply
    2,140.35x = 2,950.72 × 2,093.77
  4. Step 4: Simplify right side
    2,140.35x = 6,178,129.01
  5. Step 5: Solve for x
    x = 6,178,129.01/2,140.35
  6. Step 6: Final answer
    x = 2,886.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.