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Finding the Fourth Proportional to 1,856.00, 2,779.74 and 1,204.76

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Solution

The fourth proportional to 1,856.00, 2,779.74 and 1,204.76 is: 1,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.00 : 2,779.74 = 1,204.76 : x
  2. Step 2: Convert to fraction form
    1,856.00/2,779.74 = 1,204.76/x
  3. Step 3: Cross multiply
    1,856.00x = 2,779.74 × 1,204.76
  4. Step 4: Simplify right side
    1,856.00x = 3,348,905.66
  5. Step 5: Solve for x
    x = 3,348,905.66/1,856.00
  6. Step 6: Final answer
    x = 1,804.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.