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Finding the Fourth Proportional to 2,077.84, 3,113.63 and 1,779.58

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Solution

The fourth proportional to 2,077.84, 3,113.63 and 1,779.58 is: 2,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.84 : 3,113.63 = 1,779.58 : x
  2. Step 2: Convert to fraction form
    2,077.84/3,113.63 = 1,779.58/x
  3. Step 3: Cross multiply
    2,077.84x = 3,113.63 × 1,779.58
  4. Step 4: Simplify right side
    2,077.84x = 5,540,938.11
  5. Step 5: Solve for x
    x = 5,540,938.11/2,077.84
  6. Step 6: Final answer
    x = 2,666.69

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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.