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Finding the Fourth Proportional to 2,902.32, 4,005.84 and 1,784.21

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Solution

The fourth proportional to 2,902.32, 4,005.84 and 1,784.21 is: 2,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.32 : 4,005.84 = 1,784.21 : x
  2. Step 2: Convert to fraction form
    2,902.32/4,005.84 = 1,784.21/x
  3. Step 3: Cross multiply
    2,902.32x = 4,005.84 × 1,784.21
  4. Step 4: Simplify right side
    2,902.32x = 7,147,239.76
  5. Step 5: Solve for x
    x = 7,147,239.76/2,902.32
  6. Step 6: Final answer
    x = 2,462.60

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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.