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Finding the Fourth Proportional to 1,591.38, 2,383.63 and 973.22

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Solution

The fourth proportional to 1,591.38, 2,383.63 and 973.22 is: 1,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.38 : 2,383.63 = 973.22 : x
  2. Step 2: Convert to fraction form
    1,591.38/2,383.63 = 973.22/x
  3. Step 3: Cross multiply
    1,591.38x = 2,383.63 × 973.22
  4. Step 4: Simplify right side
    1,591.38x = 2,319,782.04
  5. Step 5: Solve for x
    x = 2,319,782.04/1,591.38
  6. Step 6: Final answer
    x = 1,457.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.