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Finding the Fourth Proportional to 3,214.02, 4,824.05 and 1,655.10

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Solution

The fourth proportional to 3,214.02, 4,824.05 and 1,655.10 is: 2,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.02 : 4,824.05 = 1,655.10 : x
  2. Step 2: Convert to fraction form
    3,214.02/4,824.05 = 1,655.10/x
  3. Step 3: Cross multiply
    3,214.02x = 4,824.05 × 1,655.10
  4. Step 4: Simplify right side
    3,214.02x = 7,984,285.16
  5. Step 5: Solve for x
    x = 7,984,285.16/3,214.02
  6. Step 6: Final answer
    x = 2,484.21

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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.