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Finding the Fourth Proportional to 2,285.84, 3,429.15 and 1,053.22

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Solution

The fourth proportional to 2,285.84, 3,429.15 and 1,053.22 is: 1,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.84 : 3,429.15 = 1,053.22 : x
  2. Step 2: Convert to fraction form
    2,285.84/3,429.15 = 1,053.22/x
  3. Step 3: Cross multiply
    2,285.84x = 3,429.15 × 1,053.22
  4. Step 4: Simplify right side
    2,285.84x = 3,611,649.36
  5. Step 5: Solve for x
    x = 3,611,649.36/2,285.84
  6. Step 6: Final answer
    x = 1,580.01

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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.