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Finding the Fourth Proportional to 3,304.34, 4,559.53 and 1,977.74

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Solution

The fourth proportional to 3,304.34, 4,559.53 and 1,977.74 is: 2,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.34 : 4,559.53 = 1,977.74 : x
  2. Step 2: Convert to fraction form
    3,304.34/4,559.53 = 1,977.74/x
  3. Step 3: Cross multiply
    3,304.34x = 4,559.53 × 1,977.74
  4. Step 4: Simplify right side
    3,304.34x = 9,017,564.86
  5. Step 5: Solve for x
    x = 9,017,564.86/3,304.34
  6. Step 6: Final answer
    x = 2,729.01

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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.