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Finding the Fourth Proportional to 1,622.65, 2,434.13 and 977.49

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Solution

The fourth proportional to 1,622.65, 2,434.13 and 977.49 is: 1,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.65 : 2,434.13 = 977.49 : x
  2. Step 2: Convert to fraction form
    1,622.65/2,434.13 = 977.49/x
  3. Step 3: Cross multiply
    1,622.65x = 2,434.13 × 977.49
  4. Step 4: Simplify right side
    1,622.65x = 2,379,337.73
  5. Step 5: Solve for x
    x = 2,379,337.73/1,622.65
  6. Step 6: Final answer
    x = 1,466.33

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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.