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Finding the Fourth Proportional to 2,907.86, 4,361.93 and 828.01

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Solution

The fourth proportional to 2,907.86, 4,361.93 and 828.01 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.86 : 4,361.93 = 828.01 : x
  2. Step 2: Convert to fraction form
    2,907.86/4,361.93 = 828.01/x
  3. Step 3: Cross multiply
    2,907.86x = 4,361.93 × 828.01
  4. Step 4: Simplify right side
    2,907.86x = 3,611,695.71
  5. Step 5: Solve for x
    x = 3,611,695.71/2,907.86
  6. Step 6: Final answer
    x = 1,242.05

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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.