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Finding the Fourth Proportional to 2,424.84, 3,637.60 and 780.83

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Solution

The fourth proportional to 2,424.84, 3,637.60 and 780.83 is: 1,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.84 : 3,637.60 = 780.83 : x
  2. Step 2: Convert to fraction form
    2,424.84/3,637.60 = 780.83/x
  3. Step 3: Cross multiply
    2,424.84x = 3,637.60 × 780.83
  4. Step 4: Simplify right side
    2,424.84x = 2,840,354.35
  5. Step 5: Solve for x
    x = 2,840,354.35/2,424.84
  6. Step 6: Final answer
    x = 1,171.36

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1.5x scale

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.