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Finding the Fourth Proportional to 2,174.64, 3,260.06 and 712.86

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Solution

The fourth proportional to 2,174.64, 3,260.06 and 712.86 is: 1,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.64 : 3,260.06 = 712.86 : x
  2. Step 2: Convert to fraction form
    2,174.64/3,260.06 = 712.86/x
  3. Step 3: Cross multiply
    2,174.64x = 3,260.06 × 712.86
  4. Step 4: Simplify right side
    2,174.64x = 2,323,966.37
  5. Step 5: Solve for x
    x = 2,323,966.37/2,174.64
  6. Step 6: Final answer
    x = 1,068.67

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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.