Home / 2,459.24-3,689.40-1,160

Finding the Fourth Proportional to 2,459.24, 3,689.40 and 1,160

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Solution

The fourth proportional to 2,459.24, 3,689.40 and 1,160 is: 1,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.24 : 3,689.40 = 1,160 : x
  2. Step 2: Convert to fraction form
    2,459.24/3,689.40 = 1,160/x
  3. Step 3: Cross multiply
    2,459.24x = 3,689.40 × 1,160
  4. Step 4: Simplify right side
    2,459.24x = 4,279,704
  5. Step 5: Solve for x
    x = 4,279,704/2,459.24
  6. Step 6: Final answer
    x = 1,740.25

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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.