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Finding the Fourth Proportional to 1,645.80, 2,271.99 and 973.72

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Solution

The fourth proportional to 1,645.80, 2,271.99 and 973.72 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.80 : 2,271.99 = 973.72 : x
  2. Step 2: Convert to fraction form
    1,645.80/2,271.99 = 973.72/x
  3. Step 3: Cross multiply
    1,645.80x = 2,271.99 × 973.72
  4. Step 4: Simplify right side
    1,645.80x = 2,212,282.10
  5. Step 5: Solve for x
    x = 2,212,282.10/1,645.80
  6. Step 6: Final answer
    x = 1,344.20

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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.