Home / 2,432.55-3,650.30-971.58

Finding the Fourth Proportional to 2,432.55, 3,650.30 and 971.58

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Solution

The fourth proportional to 2,432.55, 3,650.30 and 971.58 is: 1,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.55 : 3,650.30 = 971.58 : x
  2. Step 2: Convert to fraction form
    2,432.55/3,650.30 = 971.58/x
  3. Step 3: Cross multiply
    2,432.55x = 3,650.30 × 971.58
  4. Step 4: Simplify right side
    2,432.55x = 3,546,550.42
  5. Step 5: Solve for x
    x = 3,546,550.42/2,432.55
  6. Step 6: Final answer
    x = 1,457.96

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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.