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Finding the Fourth Proportional to 2,973.84, 4,460.76 and 1,241.52

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Solution

The fourth proportional to 2,973.84, 4,460.76 and 1,241.52 is: 1,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.84 : 4,460.76 = 1,241.52 : x
  2. Step 2: Convert to fraction form
    2,973.84/4,460.76 = 1,241.52/x
  3. Step 3: Cross multiply
    2,973.84x = 4,460.76 × 1,241.52
  4. Step 4: Simplify right side
    2,973.84x = 5,538,122.76
  5. Step 5: Solve for x
    x = 5,538,122.76/2,973.84
  6. Step 6: Final answer
    x = 1,862.28

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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.