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Finding the Fourth Proportional to 3,065.46, 4,598.19 and 874.38

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Solution

The fourth proportional to 3,065.46, 4,598.19 and 874.38 is: 1,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.46 : 4,598.19 = 874.38 : x
  2. Step 2: Convert to fraction form
    3,065.46/4,598.19 = 874.38/x
  3. Step 3: Cross multiply
    3,065.46x = 4,598.19 × 874.38
  4. Step 4: Simplify right side
    3,065.46x = 4,020,565.37
  5. Step 5: Solve for x
    x = 4,020,565.37/3,065.46
  6. Step 6: Final answer
    x = 1,311.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.