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Finding the Fourth Proportional to 1,766.23, 2,649.08 and 985.74

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Solution

The fourth proportional to 1,766.23, 2,649.08 and 985.74 is: 1,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.23 : 2,649.08 = 985.74 : x
  2. Step 2: Convert to fraction form
    1,766.23/2,649.08 = 985.74/x
  3. Step 3: Cross multiply
    1,766.23x = 2,649.08 × 985.74
  4. Step 4: Simplify right side
    1,766.23x = 2,611,305.81
  5. Step 5: Solve for x
    x = 2,611,305.81/1,766.23
  6. Step 6: Final answer
    x = 1,478.47

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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.