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Finding the Fourth Proportional to 1,740.36, 2,610.97 and 507.78

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Solution

The fourth proportional to 1,740.36, 2,610.97 and 507.78 is: 761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.36 : 2,610.97 = 507.78 : x
  2. Step 2: Convert to fraction form
    1,740.36/2,610.97 = 507.78/x
  3. Step 3: Cross multiply
    1,740.36x = 2,610.97 × 507.78
  4. Step 4: Simplify right side
    1,740.36x = 1,325,798.35
  5. Step 5: Solve for x
    x = 1,325,798.35/1,740.36
  6. Step 6: Final answer
    x = 761.80

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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.