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Finding the Fourth Proportional to 1,385.35, 1,908.89 and 942.48

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Solution

The fourth proportional to 1,385.35, 1,908.89 and 942.48 is: 1,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.35 : 1,908.89 = 942.48 : x
  2. Step 2: Convert to fraction form
    1,385.35/1,908.89 = 942.48/x
  3. Step 3: Cross multiply
    1,385.35x = 1,908.89 × 942.48
  4. Step 4: Simplify right side
    1,385.35x = 1,799,090.65
  5. Step 5: Solve for x
    x = 1,799,090.65/1,385.35
  6. Step 6: Final answer
    x = 1,298.65

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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.