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Finding the Fourth Proportional to 3,065.42, 4,597.32 and 874.27

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Solution

The fourth proportional to 3,065.42, 4,597.32 and 874.27 is: 1,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.42 : 4,597.32 = 874.27 : x
  2. Step 2: Convert to fraction form
    3,065.42/4,597.32 = 874.27/x
  3. Step 3: Cross multiply
    3,065.42x = 4,597.32 × 874.27
  4. Step 4: Simplify right side
    3,065.42x = 4,019,298.96
  5. Step 5: Solve for x
    x = 4,019,298.96/3,065.42
  6. Step 6: Final answer
    x = 1,311.17

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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.