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Finding the Fourth Proportional to 2,922.58, 4,381 and 1,457.28

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Solution

The fourth proportional to 2,922.58, 4,381 and 1,457.28 is: 2,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.58 : 4,381 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    2,922.58/4,381 = 1,457.28/x
  3. Step 3: Cross multiply
    2,922.58x = 4,381 × 1,457.28
  4. Step 4: Simplify right side
    2,922.58x = 6,384,343.68
  5. Step 5: Solve for x
    x = 6,384,343.68/2,922.58
  6. Step 6: Final answer
    x = 2,184.49

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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.