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Finding the Fourth Proportional to 2,774.42, 3,828.57 and 1,656.10

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Solution

The fourth proportional to 2,774.42, 3,828.57 and 1,656.10 is: 2,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.42 : 3,828.57 = 1,656.10 : x
  2. Step 2: Convert to fraction form
    2,774.42/3,828.57 = 1,656.10/x
  3. Step 3: Cross multiply
    2,774.42x = 3,828.57 × 1,656.10
  4. Step 4: Simplify right side
    2,774.42x = 6,340,494.78
  5. Step 5: Solve for x
    x = 6,340,494.78/2,774.42
  6. Step 6: Final answer
    x = 2,285.34

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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.