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Finding the Fourth Proportional to 2,195.53, 3,029.67 and 1,200.74

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Solution

The fourth proportional to 2,195.53, 3,029.67 and 1,200.74 is: 1,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.53 : 3,029.67 = 1,200.74 : x
  2. Step 2: Convert to fraction form
    2,195.53/3,029.67 = 1,200.74/x
  3. Step 3: Cross multiply
    2,195.53x = 3,029.67 × 1,200.74
  4. Step 4: Simplify right side
    2,195.53x = 3,637,830.81
  5. Step 5: Solve for x
    x = 3,637,830.81/2,195.53
  6. Step 6: Final answer
    x = 1,656.93

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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.