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Finding the Fourth Proportional to 1,677.85, 2,315.09 and 969.68

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Solution

The fourth proportional to 1,677.85, 2,315.09 and 969.68 is: 1,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.85 : 2,315.09 = 969.68 : x
  2. Step 2: Convert to fraction form
    1,677.85/2,315.09 = 969.68/x
  3. Step 3: Cross multiply
    1,677.85x = 2,315.09 × 969.68
  4. Step 4: Simplify right side
    1,677.85x = 2,244,897.41
  5. Step 5: Solve for x
    x = 2,244,897.41/1,677.85
  6. Step 6: Final answer
    x = 1,337.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.