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Finding the Fourth Proportional to 2,674.12, 4,011 and 1,113.46

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Solution

The fourth proportional to 2,674.12, 4,011 and 1,113.46 is: 1,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.12 : 4,011 = 1,113.46 : x
  2. Step 2: Convert to fraction form
    2,674.12/4,011 = 1,113.46/x
  3. Step 3: Cross multiply
    2,674.12x = 4,011 × 1,113.46
  4. Step 4: Simplify right side
    2,674.12x = 4,466,088.06
  5. Step 5: Solve for x
    x = 4,466,088.06/2,674.12
  6. Step 6: Final answer
    x = 1,670.12

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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.