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Finding the Fourth Proportional to 1,779.60, 2,455.77 and 993.63

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Solution

The fourth proportional to 1,779.60, 2,455.77 and 993.63 is: 1,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.60 : 2,455.77 = 993.63 : x
  2. Step 2: Convert to fraction form
    1,779.60/2,455.77 = 993.63/x
  3. Step 3: Cross multiply
    1,779.60x = 2,455.77 × 993.63
  4. Step 4: Simplify right side
    1,779.60x = 2,440,121.78
  5. Step 5: Solve for x
    x = 2,440,121.78/1,779.60
  6. Step 6: Final answer
    x = 1,371.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.