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Finding the Fourth Proportional to 3,209.61, 4,814.43 and 869.63

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Solution

The fourth proportional to 3,209.61, 4,814.43 and 869.63 is: 1,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.61 : 4,814.43 = 869.63 : x
  2. Step 2: Convert to fraction form
    3,209.61/4,814.43 = 869.63/x
  3. Step 3: Cross multiply
    3,209.61x = 4,814.43 × 869.63
  4. Step 4: Simplify right side
    3,209.61x = 4,186,783.71
  5. Step 5: Solve for x
    x = 4,186,783.71/3,209.61
  6. Step 6: Final answer
    x = 1,304.45

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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.