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Finding the Fourth Proportional to 3,134.85, 4,701.68 and 1,574.43

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Solution

The fourth proportional to 3,134.85, 4,701.68 and 1,574.43 is: 2,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.85 : 4,701.68 = 1,574.43 : x
  2. Step 2: Convert to fraction form
    3,134.85/4,701.68 = 1,574.43/x
  3. Step 3: Cross multiply
    3,134.85x = 4,701.68 × 1,574.43
  4. Step 4: Simplify right side
    3,134.85x = 7,402,458.17
  5. Step 5: Solve for x
    x = 7,402,458.17/3,134.85
  6. Step 6: Final answer
    x = 2,361.34

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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.