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Finding the Fourth Proportional to 3,053.58, 4,578.93 and 1,321.50

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Solution

The fourth proportional to 3,053.58, 4,578.93 and 1,321.50 is: 1,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.58 : 4,578.93 = 1,321.50 : x
  2. Step 2: Convert to fraction form
    3,053.58/4,578.93 = 1,321.50/x
  3. Step 3: Cross multiply
    3,053.58x = 4,578.93 × 1,321.50
  4. Step 4: Simplify right side
    3,053.58x = 6,051,056.00
  5. Step 5: Solve for x
    x = 6,051,056.00/3,053.58
  6. Step 6: Final answer
    x = 1,981.63

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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.