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Finding the Fourth Proportional to 2,523.96, 3,483.36 and 1,476

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Solution

The fourth proportional to 2,523.96, 3,483.36 and 1,476 is: 2,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.96 : 3,483.36 = 1,476 : x
  2. Step 2: Convert to fraction form
    2,523.96/3,483.36 = 1,476/x
  3. Step 3: Cross multiply
    2,523.96x = 3,483.36 × 1,476
  4. Step 4: Simplify right side
    2,523.96x = 5,141,439.36
  5. Step 5: Solve for x
    x = 5,141,439.36/2,523.96
  6. Step 6: Final answer
    x = 2,037.05

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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.