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Finding the Fourth Proportional to 1,377.84, 2,074.22 and 1,258.80

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Solution

The fourth proportional to 1,377.84, 2,074.22 and 1,258.80 is: 1,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.84 : 2,074.22 = 1,258.80 : x
  2. Step 2: Convert to fraction form
    1,377.84/2,074.22 = 1,258.80/x
  3. Step 3: Cross multiply
    1,377.84x = 2,074.22 × 1,258.80
  4. Step 4: Simplify right side
    1,377.84x = 2,611,028.14
  5. Step 5: Solve for x
    x = 2,611,028.14/1,377.84
  6. Step 6: Final answer
    x = 1,895.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.