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Finding the Fourth Proportional to 2,154.55, 2,973.15 and 1,270.63

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Solution

The fourth proportional to 2,154.55, 2,973.15 and 1,270.63 is: 1,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.55 : 2,973.15 = 1,270.63 : x
  2. Step 2: Convert to fraction form
    2,154.55/2,973.15 = 1,270.63/x
  3. Step 3: Cross multiply
    2,154.55x = 2,973.15 × 1,270.63
  4. Step 4: Simplify right side
    2,154.55x = 3,777,773.58
  5. Step 5: Solve for x
    x = 3,777,773.58/2,154.55
  6. Step 6: Final answer
    x = 1,753.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.