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Finding the Fourth Proportional to 3,045.16, 4,199.78 and 1,865.80

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Solution

The fourth proportional to 3,045.16, 4,199.78 and 1,865.80 is: 2,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.16 : 4,199.78 = 1,865.80 : x
  2. Step 2: Convert to fraction form
    3,045.16/4,199.78 = 1,865.80/x
  3. Step 3: Cross multiply
    3,045.16x = 4,199.78 × 1,865.80
  4. Step 4: Simplify right side
    3,045.16x = 7,835,949.52
  5. Step 5: Solve for x
    x = 7,835,949.52/3,045.16
  6. Step 6: Final answer
    x = 2,573.25

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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.