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Finding the Fourth Proportional to 3,010, 4,153.88 and 1,683.94

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Solution

The fourth proportional to 3,010, 4,153.88 and 1,683.94 is: 2,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010 : 4,153.88 = 1,683.94 : x
  2. Step 2: Convert to fraction form
    3,010/4,153.88 = 1,683.94/x
  3. Step 3: Cross multiply
    3,010x = 4,153.88 × 1,683.94
  4. Step 4: Simplify right side
    3,010x = 6,994,884.69
  5. Step 5: Solve for x
    x = 6,994,884.69/3,010
  6. Step 6: Final answer
    x = 2,323.88

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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.