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Finding the Fourth Proportional to 2,957.66, 4,082.02 and 1,779.02

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Solution

The fourth proportional to 2,957.66, 4,082.02 and 1,779.02 is: 2,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.66 : 4,082.02 = 1,779.02 : x
  2. Step 2: Convert to fraction form
    2,957.66/4,082.02 = 1,779.02/x
  3. Step 3: Cross multiply
    2,957.66x = 4,082.02 × 1,779.02
  4. Step 4: Simplify right side
    2,957.66x = 7,261,995.22
  5. Step 5: Solve for x
    x = 7,261,995.22/2,957.66
  6. Step 6: Final answer
    x = 2,455.32

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Why These Related Problems?

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