Home / 2,342.16-3,232.80-1,457.46

Finding the Fourth Proportional to 2,342.16, 3,232.80 and 1,457.46

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Solution

The fourth proportional to 2,342.16, 3,232.80 and 1,457.46 is: 2,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.16 : 3,232.80 = 1,457.46 : x
  2. Step 2: Convert to fraction form
    2,342.16/3,232.80 = 1,457.46/x
  3. Step 3: Cross multiply
    2,342.16x = 3,232.80 × 1,457.46
  4. Step 4: Simplify right side
    2,342.16x = 4,711,676.69
  5. Step 5: Solve for x
    x = 4,711,676.69/2,342.16
  6. Step 6: Final answer
    x = 2,011.68

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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.