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Finding the Fourth Proportional to 2,070.94, 2,858.50 and 1,232.24

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Solution

The fourth proportional to 2,070.94, 2,858.50 and 1,232.24 is: 1,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.94 : 2,858.50 = 1,232.24 : x
  2. Step 2: Convert to fraction form
    2,070.94/2,858.50 = 1,232.24/x
  3. Step 3: Cross multiply
    2,070.94x = 2,858.50 × 1,232.24
  4. Step 4: Simplify right side
    2,070.94x = 3,522,343.75
  5. Step 5: Solve for x
    x = 3,522,343.75/2,070.94
  6. Step 6: Final answer
    x = 1,700.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.