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Finding the Fourth Proportional to 2,087.84, 3,130.98 and 626.49

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Solution

The fourth proportional to 2,087.84, 3,130.98 and 626.49 is: 939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.84 : 3,130.98 = 626.49 : x
  2. Step 2: Convert to fraction form
    2,087.84/3,130.98 = 626.49/x
  3. Step 3: Cross multiply
    2,087.84x = 3,130.98 × 626.49
  4. Step 4: Simplify right side
    2,087.84x = 1,961,527.66
  5. Step 5: Solve for x
    x = 1,961,527.66/2,087.84
  6. Step 6: Final answer
    x = 939.50

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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.