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Finding the Fourth Proportional to 3,065.02, 4,597.82 and 874.06

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Solution

The fourth proportional to 3,065.02, 4,597.82 and 874.06 is: 1,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.02 : 4,597.82 = 874.06 : x
  2. Step 2: Convert to fraction form
    3,065.02/4,597.82 = 874.06/x
  3. Step 3: Cross multiply
    3,065.02x = 4,597.82 × 874.06
  4. Step 4: Simplify right side
    3,065.02x = 4,018,770.55
  5. Step 5: Solve for x
    x = 4,018,770.55/3,065.02
  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.