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Finding the Fourth Proportional to 1,771.94, 2,655.57 and 1,359.50

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Solution

The fourth proportional to 1,771.94, 2,655.57 and 1,359.50 is: 2,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.94 : 2,655.57 = 1,359.50 : x
  2. Step 2: Convert to fraction form
    1,771.94/2,655.57 = 1,359.50/x
  3. Step 3: Cross multiply
    1,771.94x = 2,655.57 × 1,359.50
  4. Step 4: Simplify right side
    1,771.94x = 3,610,247.42
  5. Step 5: Solve for x
    x = 3,610,247.42/1,771.94
  6. Step 6: Final answer
    x = 2,037.45

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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.