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Finding the Fourth Proportional to 1,681.78, 2,321 and 973.88

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Solution

The fourth proportional to 1,681.78, 2,321 and 973.88 is: 1,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.78 : 2,321 = 973.88 : x
  2. Step 2: Convert to fraction form
    1,681.78/2,321 = 973.88/x
  3. Step 3: Cross multiply
    1,681.78x = 2,321 × 973.88
  4. Step 4: Simplify right side
    1,681.78x = 2,260,375.48
  5. Step 5: Solve for x
    x = 2,260,375.48/1,681.78
  6. Step 6: Final answer
    x = 1,344.04

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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.