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Finding the Fourth Proportional to 1,461.36, 2,189.53 and 967.46

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Solution

The fourth proportional to 1,461.36, 2,189.53 and 967.46 is: 1,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.36 : 2,189.53 = 967.46 : x
  2. Step 2: Convert to fraction form
    1,461.36/2,189.53 = 967.46/x
  3. Step 3: Cross multiply
    1,461.36x = 2,189.53 × 967.46
  4. Step 4: Simplify right side
    1,461.36x = 2,118,277.86
  5. Step 5: Solve for x
    x = 2,118,277.86/1,461.36
  6. Step 6: Final answer
    x = 1,449.53

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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.