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Finding the Fourth Proportional to 1,295.10, 1,933.07 and 1,270.98

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Solution

The fourth proportional to 1,295.10, 1,933.07 and 1,270.98 is: 1,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.10 : 1,933.07 = 1,270.98 : x
  2. Step 2: Convert to fraction form
    1,295.10/1,933.07 = 1,270.98/x
  3. Step 3: Cross multiply
    1,295.10x = 1,933.07 × 1,270.98
  4. Step 4: Simplify right side
    1,295.10x = 2,456,886.95
  5. Step 5: Solve for x
    x = 2,456,886.95/1,295.10
  6. Step 6: Final answer
    x = 1,897.06

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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.