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Finding the Fourth Proportional to 2,354.50, 3,529.06 and 1,120.16

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Solution

The fourth proportional to 2,354.50, 3,529.06 and 1,120.16 is: 1,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.50 : 3,529.06 = 1,120.16 : x
  2. Step 2: Convert to fraction form
    2,354.50/3,529.06 = 1,120.16/x
  3. Step 3: Cross multiply
    2,354.50x = 3,529.06 × 1,120.16
  4. Step 4: Simplify right side
    2,354.50x = 3,953,111.85
  5. Step 5: Solve for x
    x = 3,953,111.85/2,354.50
  6. Step 6: Final answer
    x = 1,678.96

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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.