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Finding the Fourth Proportional to 1,740.56, 2,609.64 and 1,154.72

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Solution

The fourth proportional to 1,740.56, 2,609.64 and 1,154.72 is: 1,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.56 : 2,609.64 = 1,154.72 : x
  2. Step 2: Convert to fraction form
    1,740.56/2,609.64 = 1,154.72/x
  3. Step 3: Cross multiply
    1,740.56x = 2,609.64 × 1,154.72
  4. Step 4: Simplify right side
    1,740.56x = 3,013,403.50
  5. Step 5: Solve for x
    x = 3,013,403.50/1,740.56
  6. Step 6: Final answer
    x = 1,731.28

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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.