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Finding the Fourth Proportional to 2,996.52, 4,492.10 and 1,435.56

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Solution

The fourth proportional to 2,996.52, 4,492.10 and 1,435.56 is: 2,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.52 : 4,492.10 = 1,435.56 : x
  2. Step 2: Convert to fraction form
    2,996.52/4,492.10 = 1,435.56/x
  3. Step 3: Cross multiply
    2,996.52x = 4,492.10 × 1,435.56
  4. Step 4: Simplify right side
    2,996.52x = 6,448,679.08
  5. Step 5: Solve for x
    x = 6,448,679.08/2,996.52
  6. Step 6: Final answer
    x = 2,152.06

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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.