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Finding the Fourth Proportional to 2,784.16, 4,202.40 and 2,784.16

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Solution

The fourth proportional to 2,784.16, 4,202.40 and 2,784.16 is: 4,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.16 : 4,202.40 = 2,784.16 : x
  2. Step 2: Convert to fraction form
    2,784.16/4,202.40 = 2,784.16/x
  3. Step 3: Cross multiply
    2,784.16x = 4,202.40 × 2,784.16
  4. Step 4: Simplify right side
    2,784.16x = 11,700,153.98
  5. Step 5: Solve for x
    x = 11,700,153.98/2,784.16
  6. Step 6: Final answer
    x = 4,202.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.