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Finding the Fourth Proportional to 3,097.08, 4,637.16 and 1,779.64

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Solution

The fourth proportional to 3,097.08, 4,637.16 and 1,779.64 is: 2,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.08 : 4,637.16 = 1,779.64 : x
  2. Step 2: Convert to fraction form
    3,097.08/4,637.16 = 1,779.64/x
  3. Step 3: Cross multiply
    3,097.08x = 4,637.16 × 1,779.64
  4. Step 4: Simplify right side
    3,097.08x = 8,252,475.42
  5. Step 5: Solve for x
    x = 8,252,475.42/3,097.08
  6. Step 6: Final answer
    x = 2,664.60

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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.