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Finding the Fourth Proportional to 1,783.70, 2,673.66 and 687.59

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Solution

The fourth proportional to 1,783.70, 2,673.66 and 687.59 is: 1,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.70 : 2,673.66 = 687.59 : x
  2. Step 2: Convert to fraction form
    1,783.70/2,673.66 = 687.59/x
  3. Step 3: Cross multiply
    1,783.70x = 2,673.66 × 687.59
  4. Step 4: Simplify right side
    1,783.70x = 1,838,381.88
  5. Step 5: Solve for x
    x = 1,838,381.88/1,783.70
  6. Step 6: Final answer
    x = 1,030.66

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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.