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Finding the Fourth Proportional to 2,898.52, 4,349.82 and 1,803.64

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Solution

The fourth proportional to 2,898.52, 4,349.82 and 1,803.64 is: 2,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.52 : 4,349.82 = 1,803.64 : x
  2. Step 2: Convert to fraction form
    2,898.52/4,349.82 = 1,803.64/x
  3. Step 3: Cross multiply
    2,898.52x = 4,349.82 × 1,803.64
  4. Step 4: Simplify right side
    2,898.52x = 7,845,509.34
  5. Step 5: Solve for x
    x = 7,845,509.34/2,898.52
  6. Step 6: Final answer
    x = 2,706.73

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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.