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Finding the Fourth Proportional to 1,772.01, 2,659.64 and 1,359.81

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Solution

The fourth proportional to 1,772.01, 2,659.64 and 1,359.81 is: 2,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.01 : 2,659.64 = 1,359.81 : x
  2. Step 2: Convert to fraction form
    1,772.01/2,659.64 = 1,359.81/x
  3. Step 3: Cross multiply
    1,772.01x = 2,659.64 × 1,359.81
  4. Step 4: Simplify right side
    1,772.01x = 3,616,598.27
  5. Step 5: Solve for x
    x = 3,616,598.27/1,772.01
  6. Step 6: Final answer
    x = 2,040.96

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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.