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Finding the Fourth Proportional to 2,784.16, 3,842.16 and 1,542.24

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Solution

The fourth proportional to 2,784.16, 3,842.16 and 1,542.24 is: 2,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.16 : 3,842.16 = 1,542.24 : x
  2. Step 2: Convert to fraction form
    2,784.16/3,842.16 = 1,542.24/x
  3. Step 3: Cross multiply
    2,784.16x = 3,842.16 × 1,542.24
  4. Step 4: Simplify right side
    2,784.16x = 5,925,532.84
  5. Step 5: Solve for x
    x = 5,925,532.84/2,784.16
  6. Step 6: Final answer
    x = 2,128.30

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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.