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Finding the Fourth Proportional to 1,805.78, 2,492.03 and 1,106.75

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Solution

The fourth proportional to 1,805.78, 2,492.03 and 1,106.75 is: 1,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.78 : 2,492.03 = 1,106.75 : x
  2. Step 2: Convert to fraction form
    1,805.78/2,492.03 = 1,106.75/x
  3. Step 3: Cross multiply
    1,805.78x = 2,492.03 × 1,106.75
  4. Step 4: Simplify right side
    1,805.78x = 2,758,054.20
  5. Step 5: Solve for x
    x = 2,758,054.20/1,805.78
  6. Step 6: Final answer
    x = 1,527.35

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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.