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Finding the Fourth Proportional to 2,637.72, 3,956.10 and 788.40

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Solution

The fourth proportional to 2,637.72, 3,956.10 and 788.40 is: 1,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.72 : 3,956.10 = 788.40 : x
  2. Step 2: Convert to fraction form
    2,637.72/3,956.10 = 788.40/x
  3. Step 3: Cross multiply
    2,637.72x = 3,956.10 × 788.40
  4. Step 4: Simplify right side
    2,637.72x = 3,118,989.24
  5. Step 5: Solve for x
    x = 3,118,989.24/2,637.72
  6. Step 6: Final answer
    x = 1,182.46

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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.