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Finding the Fourth Proportional to 1,563.55, 2,156.78 and 973.97

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Solution

The fourth proportional to 1,563.55, 2,156.78 and 973.97 is: 1,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.55 : 2,156.78 = 973.97 : x
  2. Step 2: Convert to fraction form
    1,563.55/2,156.78 = 973.97/x
  3. Step 3: Cross multiply
    1,563.55x = 2,156.78 × 973.97
  4. Step 4: Simplify right side
    1,563.55x = 2,100,645.41
  5. Step 5: Solve for x
    x = 2,100,645.41/1,563.55
  6. Step 6: Final answer
    x = 1,343.51

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