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Finding the Fourth Proportional to 1,731.85, 2,390.09 and 986.03

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Solution

The fourth proportional to 1,731.85, 2,390.09 and 986.03 is: 1,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.85 : 2,390.09 = 986.03 : x
  2. Step 2: Convert to fraction form
    1,731.85/2,390.09 = 986.03/x
  3. Step 3: Cross multiply
    1,731.85x = 2,390.09 × 986.03
  4. Step 4: Simplify right side
    1,731.85x = 2,356,700.44
  5. Step 5: Solve for x
    x = 2,356,700.44/1,731.85
  6. Step 6: Final answer
    x = 1,360.80

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1.5x scale

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.