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Finding the Fourth Proportional to 2,957.88, 4,082.40 and 1,779.12

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Solution

The fourth proportional to 2,957.88, 4,082.40 and 1,779.12 is: 2,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.88 : 4,082.40 = 1,779.12 : x
  2. Step 2: Convert to fraction form
    2,957.88/4,082.40 = 1,779.12/x
  3. Step 3: Cross multiply
    2,957.88x = 4,082.40 × 1,779.12
  4. Step 4: Simplify right side
    2,957.88x = 7,263,079.49
  5. Step 5: Solve for x
    x = 7,263,079.49/2,957.88
  6. Step 6: Final answer
    x = 2,455.50

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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.