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Finding the Fourth Proportional to 2,794.16, 3,856.02 and 1,675.28

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Solution

The fourth proportional to 2,794.16, 3,856.02 and 1,675.28 is: 2,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.16 : 3,856.02 = 1,675.28 : x
  2. Step 2: Convert to fraction form
    2,794.16/3,856.02 = 1,675.28/x
  3. Step 3: Cross multiply
    2,794.16x = 3,856.02 × 1,675.28
  4. Step 4: Simplify right side
    2,794.16x = 6,459,913.19
  5. Step 5: Solve for x
    x = 6,459,913.19/2,794.16
  6. Step 6: Final answer
    x = 2,311.93

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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.