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Finding the Fourth Proportional to 1,878.75, 2,805.86 and 1,619.28

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Solution

The fourth proportional to 1,878.75, 2,805.86 and 1,619.28 is: 2,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.75 : 2,805.86 = 1,619.28 : x
  2. Step 2: Convert to fraction form
    1,878.75/2,805.86 = 1,619.28/x
  3. Step 3: Cross multiply
    1,878.75x = 2,805.86 × 1,619.28
  4. Step 4: Simplify right side
    1,878.75x = 4,543,477.03
  5. Step 5: Solve for x
    x = 4,543,477.03/1,878.75
  6. Step 6: Final answer
    x = 2,418.35

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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.