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Finding the Fourth Proportional to 1,857.35, 2,779.29 and 1,600.40

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Solution

The fourth proportional to 1,857.35, 2,779.29 and 1,600.40 is: 2,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.35 : 2,779.29 = 1,600.40 : x
  2. Step 2: Convert to fraction form
    1,857.35/2,779.29 = 1,600.40/x
  3. Step 3: Cross multiply
    1,857.35x = 2,779.29 × 1,600.40
  4. Step 4: Simplify right side
    1,857.35x = 4,447,961.82
  5. Step 5: Solve for x
    x = 4,447,961.82/1,857.35
  6. Step 6: Final answer
    x = 2,394.80

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