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Finding the Fourth Proportional to 1,362.04, 1,879.74 and 838.28

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Solution

The fourth proportional to 1,362.04, 1,879.74 and 838.28 is: 1,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.04 : 1,879.74 = 838.28 : x
  2. Step 2: Convert to fraction form
    1,362.04/1,879.74 = 838.28/x
  3. Step 3: Cross multiply
    1,362.04x = 1,879.74 × 838.28
  4. Step 4: Simplify right side
    1,362.04x = 1,575,748.45
  5. Step 5: Solve for x
    x = 1,575,748.45/1,362.04
  6. Step 6: Final answer
    x = 1,156.90

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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.