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Finding the Fourth Proportional to 1,740.02, 2,607.09 and 861.35

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Solution

The fourth proportional to 1,740.02, 2,607.09 and 861.35 is: 1,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.02 : 2,607.09 = 861.35 : x
  2. Step 2: Convert to fraction form
    1,740.02/2,607.09 = 861.35/x
  3. Step 3: Cross multiply
    1,740.02x = 2,607.09 × 861.35
  4. Step 4: Simplify right side
    1,740.02x = 2,245,616.97
  5. Step 5: Solve for x
    x = 2,245,616.97/1,740.02
  6. Step 6: Final answer
    x = 1,290.57

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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.