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Finding the Fourth Proportional to 2,670.36, 3,683.03 and 1,774.50

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Solution

The fourth proportional to 2,670.36, 3,683.03 and 1,774.50 is: 2,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.36 : 3,683.03 = 1,774.50 : x
  2. Step 2: Convert to fraction form
    2,670.36/3,683.03 = 1,774.50/x
  3. Step 3: Cross multiply
    2,670.36x = 3,683.03 × 1,774.50
  4. Step 4: Simplify right side
    2,670.36x = 6,535,536.74
  5. Step 5: Solve for x
    x = 6,535,536.74/2,670.36
  6. Step 6: Final answer
    x = 2,447.44

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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.