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Finding the Fourth Proportional to 1,680, 2,318.40 and 944

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Solution

The fourth proportional to 1,680, 2,318.40 and 944 is: 1,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,318.40 = 944 : x
  2. Step 2: Convert to fraction form
    1,680/2,318.40 = 944/x
  3. Step 3: Cross multiply
    1,680x = 2,318.40 × 944
  4. Step 4: Simplify right side
    1,680x = 2,188,569.60
  5. Step 5: Solve for x
    x = 2,188,569.60/1,680
  6. Step 6: Final answer
    x = 1,302.72

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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.