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Finding the Fourth Proportional to 1,457.92, 2,184.84 and 675.92

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Solution

The fourth proportional to 1,457.92, 2,184.84 and 675.92 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.92 : 2,184.84 = 675.92 : x
  2. Step 2: Convert to fraction form
    1,457.92/2,184.84 = 675.92/x
  3. Step 3: Cross multiply
    1,457.92x = 2,184.84 × 675.92
  4. Step 4: Simplify right side
    1,457.92x = 1,476,777.05
  5. Step 5: Solve for x
    x = 1,476,777.05/1,457.92
  6. Step 6: Final answer
    x = 1,012.93

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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.