Home / 2,291.16-3,432.96-973.86

Finding the Fourth Proportional to 2,291.16, 3,432.96 and 973.86

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Solution

The fourth proportional to 2,291.16, 3,432.96 and 973.86 is: 1,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.16 : 3,432.96 = 973.86 : x
  2. Step 2: Convert to fraction form
    2,291.16/3,432.96 = 973.86/x
  3. Step 3: Cross multiply
    2,291.16x = 3,432.96 × 973.86
  4. Step 4: Simplify right side
    2,291.16x = 3,343,222.43
  5. Step 5: Solve for x
    x = 3,343,222.43/2,291.16
  6. Step 6: Final answer
    x = 1,459.18

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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.