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Finding the Fourth Proportional to 2,889.02, 4,333.61 and 1,655.84

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Solution

The fourth proportional to 2,889.02, 4,333.61 and 1,655.84 is: 2,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.02 : 4,333.61 = 1,655.84 : x
  2. Step 2: Convert to fraction form
    2,889.02/4,333.61 = 1,655.84/x
  3. Step 3: Cross multiply
    2,889.02x = 4,333.61 × 1,655.84
  4. Step 4: Simplify right side
    2,889.02x = 7,175,767.34
  5. Step 5: Solve for x
    x = 7,175,767.34/2,889.02
  6. Step 6: Final answer
    x = 2,483.80

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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.