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Finding the Fourth Proportional to 1,544.34, 2,313.57 and 918.31

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Solution

The fourth proportional to 1,544.34, 2,313.57 and 918.31 is: 1,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.34 : 2,313.57 = 918.31 : x
  2. Step 2: Convert to fraction form
    1,544.34/2,313.57 = 918.31/x
  3. Step 3: Cross multiply
    1,544.34x = 2,313.57 × 918.31
  4. Step 4: Simplify right side
    1,544.34x = 2,124,574.47
  5. Step 5: Solve for x
    x = 2,124,574.47/1,544.34
  6. Step 6: Final answer
    x = 1,375.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.