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Finding the Fourth Proportional to 1,683, 2,322.54 and 947

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Solution

The fourth proportional to 1,683, 2,322.54 and 947 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683 : 2,322.54 = 947 : x
  2. Step 2: Convert to fraction form
    1,683/2,322.54 = 947/x
  3. Step 3: Cross multiply
    1,683x = 2,322.54 × 947
  4. Step 4: Simplify right side
    1,683x = 2,199,445.38
  5. Step 5: Solve for x
    x = 2,199,445.38/1,683
  6. Step 6: Final answer
    x = 1,306.86

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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.