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Finding the Fourth Proportional to 2,637.55, 3,956.70 and 788.42

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Solution

The fourth proportional to 2,637.55, 3,956.70 and 788.42 is: 1,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.55 : 3,956.70 = 788.42 : x
  2. Step 2: Convert to fraction form
    2,637.55/3,956.70 = 788.42/x
  3. Step 3: Cross multiply
    2,637.55x = 3,956.70 × 788.42
  4. Step 4: Simplify right side
    2,637.55x = 3,119,541.41
  5. Step 5: Solve for x
    x = 3,119,541.41/2,637.55
  6. Step 6: Final answer
    x = 1,182.74

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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.