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Finding the Fourth Proportional to 1,681.65, 2,523.04 and 859.70

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Solution

The fourth proportional to 1,681.65, 2,523.04 and 859.70 is: 1,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.65 : 2,523.04 = 859.70 : x
  2. Step 2: Convert to fraction form
    1,681.65/2,523.04 = 859.70/x
  3. Step 3: Cross multiply
    1,681.65x = 2,523.04 × 859.70
  4. Step 4: Simplify right side
    1,681.65x = 2,169,057.49
  5. Step 5: Solve for x
    x = 2,169,057.49/1,681.65
  6. Step 6: Final answer
    x = 1,289.84

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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.