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Finding the Fourth Proportional to 1,450.24, 2,000.68 and 977.99

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Solution

The fourth proportional to 1,450.24, 2,000.68 and 977.99 is: 1,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.24 : 2,000.68 = 977.99 : x
  2. Step 2: Convert to fraction form
    1,450.24/2,000.68 = 977.99/x
  3. Step 3: Cross multiply
    1,450.24x = 2,000.68 × 977.99
  4. Step 4: Simplify right side
    1,450.24x = 1,956,636.25
  5. Step 5: Solve for x
    x = 1,956,636.25/1,450.24
  6. Step 6: Final answer
    x = 1,349.18

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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.