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Finding the Fourth Proportional to 1,740.46, 2,611.10 and 507.84

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Solution

The fourth proportional to 1,740.46, 2,611.10 and 507.84 is: 761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.46 : 2,611.10 = 507.84 : x
  2. Step 2: Convert to fraction form
    1,740.46/2,611.10 = 507.84/x
  3. Step 3: Cross multiply
    1,740.46x = 2,611.10 × 507.84
  4. Step 4: Simplify right side
    1,740.46x = 1,326,021.02
  5. Step 5: Solve for x
    x = 1,326,021.02/1,740.46
  6. Step 6: Final answer
    x = 761.88

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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.