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Finding the Fourth Proportional to 1,674.93, 2,311.62 and 976.32

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Solution

The fourth proportional to 1,674.93, 2,311.62 and 976.32 is: 1,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.93 : 2,311.62 = 976.32 : x
  2. Step 2: Convert to fraction form
    1,674.93/2,311.62 = 976.32/x
  3. Step 3: Cross multiply
    1,674.93x = 2,311.62 × 976.32
  4. Step 4: Simplify right side
    1,674.93x = 2,256,880.84
  5. Step 5: Solve for x
    x = 2,256,880.84/1,674.93
  6. Step 6: Final answer
    x = 1,347.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.