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Finding the Fourth Proportional to 2,782.94, 3,838.24 and 1,788.32

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Solution

The fourth proportional to 2,782.94, 3,838.24 and 1,788.32 is: 2,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.94 : 3,838.24 = 1,788.32 : x
  2. Step 2: Convert to fraction form
    2,782.94/3,838.24 = 1,788.32/x
  3. Step 3: Cross multiply
    2,782.94x = 3,838.24 × 1,788.32
  4. Step 4: Simplify right side
    2,782.94x = 6,864,001.36
  5. Step 5: Solve for x
    x = 6,864,001.36/2,782.94
  6. Step 6: Final answer
    x = 2,466.46

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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.