Home / 1,622.20-2,429.65-971.57

Finding the Fourth Proportional to 1,622.20, 2,429.65 and 971.57

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Solution

The fourth proportional to 1,622.20, 2,429.65 and 971.57 is: 1,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.20 : 2,429.65 = 971.57 : x
  2. Step 2: Convert to fraction form
    1,622.20/2,429.65 = 971.57/x
  3. Step 3: Cross multiply
    1,622.20x = 2,429.65 × 971.57
  4. Step 4: Simplify right side
    1,622.20x = 2,360,575.05
  5. Step 5: Solve for x
    x = 2,360,575.05/1,622.20
  6. Step 6: Final answer
    x = 1,455.17

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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.