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Finding the Fourth Proportional to 1,823.78, 2,735.44 and 507.63

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Solution

The fourth proportional to 1,823.78, 2,735.44 and 507.63 is: 761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.78 : 2,735.44 = 507.63 : x
  2. Step 2: Convert to fraction form
    1,823.78/2,735.44 = 507.63/x
  3. Step 3: Cross multiply
    1,823.78x = 2,735.44 × 507.63
  4. Step 4: Simplify right side
    1,823.78x = 1,388,598.12
  5. Step 5: Solve for x
    x = 1,388,598.12/1,823.78
  6. Step 6: Final answer
    x = 761.38

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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.