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Finding the Fourth Proportional to 1,312.02, 1,797.46 and 1,262.78

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Solution

The fourth proportional to 1,312.02, 1,797.46 and 1,262.78 is: 1,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,797.46 = 1,262.78 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,797.46 = 1,262.78/x
  3. Step 3: Cross multiply
    1,312.02x = 1,797.46 × 1,262.78
  4. Step 4: Simplify right side
    1,312.02x = 2,269,796.54
  5. Step 5: Solve for x
    x = 2,269,796.54/1,312.02
  6. Step 6: Final answer
    x = 1,730.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.