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Finding the Fourth Proportional to 2,955.66, 4,079.31 and 1,776.78

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Solution

The fourth proportional to 2,955.66, 4,079.31 and 1,776.78 is: 2,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.66 : 4,079.31 = 1,776.78 : x
  2. Step 2: Convert to fraction form
    2,955.66/4,079.31 = 1,776.78/x
  3. Step 3: Cross multiply
    2,955.66x = 4,079.31 × 1,776.78
  4. Step 4: Simplify right side
    2,955.66x = 7,248,036.42
  5. Step 5: Solve for x
    x = 7,248,036.42/2,955.66
  6. Step 6: Final answer
    x = 2,452.26

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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.