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Finding the Fourth Proportional to 2,959.95, 4,084.72 and 1,633.64

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Solution

The fourth proportional to 2,959.95, 4,084.72 and 1,633.64 is: 2,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.95 : 4,084.72 = 1,633.64 : x
  2. Step 2: Convert to fraction form
    2,959.95/4,084.72 = 1,633.64/x
  3. Step 3: Cross multiply
    2,959.95x = 4,084.72 × 1,633.64
  4. Step 4: Simplify right side
    2,959.95x = 6,672,953.81
  5. Step 5: Solve for x
    x = 6,672,953.81/2,959.95
  6. Step 6: Final answer
    x = 2,254.42

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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.