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Finding the Fourth Proportional to 2,637.33, 3,955.98 and 1,077

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Solution

The fourth proportional to 2,637.33, 3,955.98 and 1,077 is: 1,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.33 : 3,955.98 = 1,077 : x
  2. Step 2: Convert to fraction form
    2,637.33/3,955.98 = 1,077/x
  3. Step 3: Cross multiply
    2,637.33x = 3,955.98 × 1,077
  4. Step 4: Simplify right side
    2,637.33x = 4,260,590.46
  5. Step 5: Solve for x
    x = 4,260,590.46/2,637.33
  6. Step 6: Final answer
    x = 1,615.49

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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.