Home / 1,421.34-2,132.82-971.52

Finding the Fourth Proportional to 1,421.34, 2,132.82 and 971.52

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Solution

The fourth proportional to 1,421.34, 2,132.82 and 971.52 is: 1,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.34 : 2,132.82 = 971.52 : x
  2. Step 2: Convert to fraction form
    1,421.34/2,132.82 = 971.52/x
  3. Step 3: Cross multiply
    1,421.34x = 2,132.82 × 971.52
  4. Step 4: Simplify right side
    1,421.34x = 2,072,077.29
  5. Step 5: Solve for x
    x = 2,072,077.29/1,421.34
  6. Step 6: Final answer
    x = 1,457.83

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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.