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Finding the Fourth Proportional to 4,648.02, 6,972.03 and 1,185

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Solution

The fourth proportional to 4,648.02, 6,972.03 and 1,185 is: 1,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.02 : 6,972.03 = 1,185 : x
  2. Step 2: Convert to fraction form
    4,648.02/6,972.03 = 1,185/x
  3. Step 3: Cross multiply
    4,648.02x = 6,972.03 × 1,185
  4. Step 4: Simplify right side
    4,648.02x = 8,261,855.55
  5. Step 5: Solve for x
    x = 8,261,855.55/4,648.02
  6. Step 6: Final answer
    x = 1,777.50

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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.