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Finding the Fourth Proportional to 1,756.35, 2,423.88 and 1,166.49

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Solution

The fourth proportional to 1,756.35, 2,423.88 and 1,166.49 is: 1,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.35 : 2,423.88 = 1,166.49 : x
  2. Step 2: Convert to fraction form
    1,756.35/2,423.88 = 1,166.49/x
  3. Step 3: Cross multiply
    1,756.35x = 2,423.88 × 1,166.49
  4. Step 4: Simplify right side
    1,756.35x = 2,827,431.78
  5. Step 5: Solve for x
    x = 2,827,431.78/1,756.35
  6. Step 6: Final answer
    x = 1,609.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.