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Finding the Fourth Proportional to 1,219.84, 1,829.30 and 962.87

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Solution

The fourth proportional to 1,219.84, 1,829.30 and 962.87 is: 1,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.84 : 1,829.30 = 962.87 : x
  2. Step 2: Convert to fraction form
    1,219.84/1,829.30 = 962.87/x
  3. Step 3: Cross multiply
    1,219.84x = 1,829.30 × 962.87
  4. Step 4: Simplify right side
    1,219.84x = 1,761,364.13
  5. Step 5: Solve for x
    x = 1,761,364.13/1,219.84
  6. Step 6: Final answer
    x = 1,443.93

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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.