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Finding the Fourth Proportional to 2,784.44, 4,176.73 and 935.58

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Solution

The fourth proportional to 2,784.44, 4,176.73 and 935.58 is: 1,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.44 : 4,176.73 = 935.58 : x
  2. Step 2: Convert to fraction form
    2,784.44/4,176.73 = 935.58/x
  3. Step 3: Cross multiply
    2,784.44x = 4,176.73 × 935.58
  4. Step 4: Simplify right side
    2,784.44x = 3,907,681.89
  5. Step 5: Solve for x
    x = 3,907,681.89/2,784.44
  6. Step 6: Final answer
    x = 1,403.40

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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.