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Finding the Fourth Proportional to 3,053.88, 4,581.44 and 973.84

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Solution

The fourth proportional to 3,053.88, 4,581.44 and 973.84 is: 1,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.88 : 4,581.44 = 973.84 : x
  2. Step 2: Convert to fraction form
    3,053.88/4,581.44 = 973.84/x
  3. Step 3: Cross multiply
    3,053.88x = 4,581.44 × 973.84
  4. Step 4: Simplify right side
    3,053.88x = 4,461,589.53
  5. Step 5: Solve for x
    x = 4,461,589.53/3,053.88
  6. Step 6: Final answer
    x = 1,460.96

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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.