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Finding the Fourth Proportional to 1,348.37, 1,855.94 and 954.71

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Solution

The fourth proportional to 1,348.37, 1,855.94 and 954.71 is: 1,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.37 : 1,855.94 = 954.71 : x
  2. Step 2: Convert to fraction form
    1,348.37/1,855.94 = 954.71/x
  3. Step 3: Cross multiply
    1,348.37x = 1,855.94 × 954.71
  4. Step 4: Simplify right side
    1,348.37x = 1,771,884.48
  5. Step 5: Solve for x
    x = 1,771,884.48/1,348.37
  6. Step 6: Final answer
    x = 1,314.09

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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.