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Finding the Fourth Proportional to 2,973.58, 4,460.38 and 893.81

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Solution

The fourth proportional to 2,973.58, 4,460.38 and 893.81 is: 1,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.58 : 4,460.38 = 893.81 : x
  2. Step 2: Convert to fraction form
    2,973.58/4,460.38 = 893.81/x
  3. Step 3: Cross multiply
    2,973.58x = 4,460.38 × 893.81
  4. Step 4: Simplify right side
    2,973.58x = 3,986,732.25
  5. Step 5: Solve for x
    x = 3,986,732.25/2,973.58
  6. Step 6: Final answer
    x = 1,340.72

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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.