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Finding the Fourth Proportional to 1,672.74, 2,307.96 and 973.71

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Solution

The fourth proportional to 1,672.74, 2,307.96 and 973.71 is: 1,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.74 : 2,307.96 = 973.71 : x
  2. Step 2: Convert to fraction form
    1,672.74/2,307.96 = 973.71/x
  3. Step 3: Cross multiply
    1,672.74x = 2,307.96 × 973.71
  4. Step 4: Simplify right side
    1,672.74x = 2,247,283.73
  5. Step 5: Solve for x
    x = 2,247,283.73/1,672.74
  6. Step 6: Final answer
    x = 1,343.47

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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.