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Finding the Fourth Proportional to 2,625.04, 3,936.63 and 869.74

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Solution

The fourth proportional to 2,625.04, 3,936.63 and 869.74 is: 1,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.04 : 3,936.63 = 869.74 : x
  2. Step 2: Convert to fraction form
    2,625.04/3,936.63 = 869.74/x
  3. Step 3: Cross multiply
    2,625.04x = 3,936.63 × 869.74
  4. Step 4: Simplify right side
    2,625.04x = 3,423,838.00
  5. Step 5: Solve for x
    x = 3,423,838.00/2,625.04
  6. Step 6: Final answer
    x = 1,304.30

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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.