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Finding the Fourth Proportional to 2,012.84, 2,779.62 and 1,903.76

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Solution

The fourth proportional to 2,012.84, 2,779.62 and 1,903.76 is: 2,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.84 : 2,779.62 = 1,903.76 : x
  2. Step 2: Convert to fraction form
    2,012.84/2,779.62 = 1,903.76/x
  3. Step 3: Cross multiply
    2,012.84x = 2,779.62 × 1,903.76
  4. Step 4: Simplify right side
    2,012.84x = 5,291,729.37
  5. Step 5: Solve for x
    x = 5,291,729.37/2,012.84
  6. Step 6: Final answer
    x = 2,628.99

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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.