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Finding the Fourth Proportional to 2,656.96, 3,985.41 and 1,195.08

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Solution

The fourth proportional to 2,656.96, 3,985.41 and 1,195.08 is: 1,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.96 : 3,985.41 = 1,195.08 : x
  2. Step 2: Convert to fraction form
    2,656.96/3,985.41 = 1,195.08/x
  3. Step 3: Cross multiply
    2,656.96x = 3,985.41 × 1,195.08
  4. Step 4: Simplify right side
    2,656.96x = 4,762,877.81
  5. Step 5: Solve for x
    x = 4,762,877.81/2,656.96
  6. Step 6: Final answer
    x = 1,792.60

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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.