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Finding the Fourth Proportional to 1,523.23, 2,102.05 and 860.22

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Solution

The fourth proportional to 1,523.23, 2,102.05 and 860.22 is: 1,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.23 : 2,102.05 = 860.22 : x
  2. Step 2: Convert to fraction form
    1,523.23/2,102.05 = 860.22/x
  3. Step 3: Cross multiply
    1,523.23x = 2,102.05 × 860.22
  4. Step 4: Simplify right side
    1,523.23x = 1,808,214.94
  5. Step 5: Solve for x
    x = 1,808,214.94/1,523.23
  6. Step 6: Final answer
    x = 1,187.10

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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.