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Finding the Fourth Proportional to 3,230, 4,457.40 and 1,758

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Solution

The fourth proportional to 3,230, 4,457.40 and 1,758 is: 2,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230 : 4,457.40 = 1,758 : x
  2. Step 2: Convert to fraction form
    3,230/4,457.40 = 1,758/x
  3. Step 3: Cross multiply
    3,230x = 4,457.40 × 1,758
  4. Step 4: Simplify right side
    3,230x = 7,836,109.20
  5. Step 5: Solve for x
    x = 7,836,109.20/3,230
  6. Step 6: Final answer
    x = 2,426.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.