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Finding the Fourth Proportional to 2,774.13, 3,830.13 and 1,779.86

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Solution

The fourth proportional to 2,774.13, 3,830.13 and 1,779.86 is: 2,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.13 : 3,830.13 = 1,779.86 : x
  2. Step 2: Convert to fraction form
    2,774.13/3,830.13 = 1,779.86/x
  3. Step 3: Cross multiply
    2,774.13x = 3,830.13 × 1,779.86
  4. Step 4: Simplify right side
    2,774.13x = 6,817,076.03
  5. Step 5: Solve for x
    x = 6,817,076.03/2,774.13
  6. Step 6: Final answer
    x = 2,457.37

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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.