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Finding the Fourth Proportional to 1,740.38, 2,610.63 and 700.88

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Solution

The fourth proportional to 1,740.38, 2,610.63 and 700.88 is: 1,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.38 : 2,610.63 = 700.88 : x
  2. Step 2: Convert to fraction form
    1,740.38/2,610.63 = 700.88/x
  3. Step 3: Cross multiply
    1,740.38x = 2,610.63 × 700.88
  4. Step 4: Simplify right side
    1,740.38x = 1,829,725.30
  5. Step 5: Solve for x
    x = 1,829,725.30/1,740.38
  6. Step 6: Final answer
    x = 1,051.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.