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Finding the Fourth Proportional to 3,065.87, 4,598.16 and 874.01

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Solution

The fourth proportional to 3,065.87, 4,598.16 and 874.01 is: 1,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.87 : 4,598.16 = 874.01 : x
  2. Step 2: Convert to fraction form
    3,065.87/4,598.16 = 874.01/x
  3. Step 3: Cross multiply
    3,065.87x = 4,598.16 × 874.01
  4. Step 4: Simplify right side
    3,065.87x = 4,018,814.83
  5. Step 5: Solve for x
    x = 4,018,814.83/3,065.87
  6. Step 6: Final answer
    x = 1,310.83

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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.