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Finding the Fourth Proportional to 1,984.84, 2,959.77 and 1,846.32

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Solution

The fourth proportional to 1,984.84, 2,959.77 and 1,846.32 is: 2,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.84 : 2,959.77 = 1,846.32 : x
  2. Step 2: Convert to fraction form
    1,984.84/2,959.77 = 1,846.32/x
  3. Step 3: Cross multiply
    1,984.84x = 2,959.77 × 1,846.32
  4. Step 4: Simplify right side
    1,984.84x = 5,464,682.55
  5. Step 5: Solve for x
    x = 5,464,682.55/1,984.84
  6. Step 6: Final answer
    x = 2,753.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.