Home / 2,972.14-4,457.40-1,023.82

Finding the Fourth Proportional to 2,972.14, 4,457.40 and 1,023.82

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Solution

The fourth proportional to 2,972.14, 4,457.40 and 1,023.82 is: 1,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.14 : 4,457.40 = 1,023.82 : x
  2. Step 2: Convert to fraction form
    2,972.14/4,457.40 = 1,023.82/x
  3. Step 3: Cross multiply
    2,972.14x = 4,457.40 × 1,023.82
  4. Step 4: Simplify right side
    2,972.14x = 4,563,575.27
  5. Step 5: Solve for x
    x = 4,563,575.27/2,972.14
  6. Step 6: Final answer
    x = 1,535.45

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Why These Related Problems?

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