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Finding the Fourth Proportional to 1,919.47, 2,878.63 and 823.57

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Solution

The fourth proportional to 1,919.47, 2,878.63 and 823.57 is: 1,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.47 : 2,878.63 = 823.57 : x
  2. Step 2: Convert to fraction form
    1,919.47/2,878.63 = 823.57/x
  3. Step 3: Cross multiply
    1,919.47x = 2,878.63 × 823.57
  4. Step 4: Simplify right side
    1,919.47x = 2,370,753.31
  5. Step 5: Solve for x
    x = 2,370,753.31/1,919.47
  6. Step 6: Final answer
    x = 1,235.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.