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Finding the Fourth Proportional to 1,908.42, 2,633.74 and 1,069.08

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Solution

The fourth proportional to 1,908.42, 2,633.74 and 1,069.08 is: 1,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.42 : 2,633.74 = 1,069.08 : x
  2. Step 2: Convert to fraction form
    1,908.42/2,633.74 = 1,069.08/x
  3. Step 3: Cross multiply
    1,908.42x = 2,633.74 × 1,069.08
  4. Step 4: Simplify right side
    1,908.42x = 2,815,678.76
  5. Step 5: Solve for x
    x = 2,815,678.76/1,908.42
  6. Step 6: Final answer
    x = 1,475.40

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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.