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Finding the Fourth Proportional to 3,001.44, 4,142 and 1,674.92

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Solution

The fourth proportional to 3,001.44, 4,142 and 1,674.92 is: 2,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.44 : 4,142 = 1,674.92 : x
  2. Step 2: Convert to fraction form
    3,001.44/4,142 = 1,674.92/x
  3. Step 3: Cross multiply
    3,001.44x = 4,142 × 1,674.92
  4. Step 4: Simplify right side
    3,001.44x = 6,937,518.64
  5. Step 5: Solve for x
    x = 6,937,518.64/3,001.44
  6. Step 6: Final answer
    x = 2,311.40

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Why These Related Problems?

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