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Finding the Fourth Proportional to 1,459.95, 2,014.22 and 936.27

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Solution

The fourth proportional to 1,459.95, 2,014.22 and 936.27 is: 1,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.95 : 2,014.22 = 936.27 : x
  2. Step 2: Convert to fraction form
    1,459.95/2,014.22 = 936.27/x
  3. Step 3: Cross multiply
    1,459.95x = 2,014.22 × 936.27
  4. Step 4: Simplify right side
    1,459.95x = 1,885,849.08
  5. Step 5: Solve for x
    x = 1,885,849.08/1,459.95
  6. Step 6: Final answer
    x = 1,291.72

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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.