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Finding the Fourth Proportional to 1,337.13, 1,846.69 and 918.59

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Solution

The fourth proportional to 1,337.13, 1,846.69 and 918.59 is: 1,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.13 : 1,846.69 = 918.59 : x
  2. Step 2: Convert to fraction form
    1,337.13/1,846.69 = 918.59/x
  3. Step 3: Cross multiply
    1,337.13x = 1,846.69 × 918.59
  4. Step 4: Simplify right side
    1,337.13x = 1,696,339.44
  5. Step 5: Solve for x
    x = 1,696,339.44/1,337.13
  6. Step 6: Final answer
    x = 1,268.64

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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.