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Finding the Fourth Proportional to 2,995.41, 4,492.51 and 803.63

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Solution

The fourth proportional to 2,995.41, 4,492.51 and 803.63 is: 1,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.41 : 4,492.51 = 803.63 : x
  2. Step 2: Convert to fraction form
    2,995.41/4,492.51 = 803.63/x
  3. Step 3: Cross multiply
    2,995.41x = 4,492.51 × 803.63
  4. Step 4: Simplify right side
    2,995.41x = 3,610,291.34
  5. Step 5: Solve for x
    x = 3,610,291.34/2,995.41
  6. Step 6: Final answer
    x = 1,205.27

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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.