Home / 1,497.32-2,241.18-802.24

Finding the Fourth Proportional to 1,497.32, 2,241.18 and 802.24

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Solution

The fourth proportional to 1,497.32, 2,241.18 and 802.24 is: 1,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.32 : 2,241.18 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,497.32/2,241.18 = 802.24/x
  3. Step 3: Cross multiply
    1,497.32x = 2,241.18 × 802.24
  4. Step 4: Simplify right side
    1,497.32x = 1,797,964.24
  5. Step 5: Solve for x
    x = 1,797,964.24/1,497.32
  6. Step 6: Final answer
    x = 1,200.79

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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.