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Finding the Fourth Proportional to 1,948.55, 2,907.38 and 1,830.38

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Solution

The fourth proportional to 1,948.55, 2,907.38 and 1,830.38 is: 2,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.55 : 2,907.38 = 1,830.38 : x
  2. Step 2: Convert to fraction form
    1,948.55/2,907.38 = 1,830.38/x
  3. Step 3: Cross multiply
    1,948.55x = 2,907.38 × 1,830.38
  4. Step 4: Simplify right side
    1,948.55x = 5,321,600.24
  5. Step 5: Solve for x
    x = 5,321,600.24/1,948.55
  6. Step 6: Final answer
    x = 2,731.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.