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Finding the Fourth Proportional to 1,364.04, 1,879.20 and 942.84

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Solution

The fourth proportional to 1,364.04, 1,879.20 and 942.84 is: 1,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.04 : 1,879.20 = 942.84 : x
  2. Step 2: Convert to fraction form
    1,364.04/1,879.20 = 942.84/x
  3. Step 3: Cross multiply
    1,364.04x = 1,879.20 × 942.84
  4. Step 4: Simplify right side
    1,364.04x = 1,771,784.93
  5. Step 5: Solve for x
    x = 1,771,784.93/1,364.04
  6. Step 6: Final answer
    x = 1,298.92

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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.