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Finding the Fourth Proportional to 2,774.95, 3,829.43 and 1,595.94

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Solution

The fourth proportional to 2,774.95, 3,829.43 and 1,595.94 is: 2,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.95 : 3,829.43 = 1,595.94 : x
  2. Step 2: Convert to fraction form
    2,774.95/3,829.43 = 1,595.94/x
  3. Step 3: Cross multiply
    2,774.95x = 3,829.43 × 1,595.94
  4. Step 4: Simplify right side
    2,774.95x = 6,111,534.93
  5. Step 5: Solve for x
    x = 6,111,534.93/2,774.95
  6. Step 6: Final answer
    x = 2,202.40

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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.