Home / 1,784.20-2,462.72-1,430.68

Finding the Fourth Proportional to 1,784.20, 2,462.72 and 1,430.68

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Solution

The fourth proportional to 1,784.20, 2,462.72 and 1,430.68 is: 1,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.20 : 2,462.72 = 1,430.68 : x
  2. Step 2: Convert to fraction form
    1,784.20/2,462.72 = 1,430.68/x
  3. Step 3: Cross multiply
    1,784.20x = 2,462.72 × 1,430.68
  4. Step 4: Simplify right side
    1,784.20x = 3,523,364.25
  5. Step 5: Solve for x
    x = 3,523,364.25/1,784.20
  6. Step 6: Final answer
    x = 1,974.76

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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.