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Finding the Fourth Proportional to 1,417.59, 1,953.99 and 1,067.67

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Solution

The fourth proportional to 1,417.59, 1,953.99 and 1,067.67 is: 1,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.59 : 1,953.99 = 1,067.67 : x
  2. Step 2: Convert to fraction form
    1,417.59/1,953.99 = 1,067.67/x
  3. Step 3: Cross multiply
    1,417.59x = 1,953.99 × 1,067.67
  4. Step 4: Simplify right side
    1,417.59x = 2,086,216.50
  5. Step 5: Solve for x
    x = 2,086,216.50/1,417.59
  6. Step 6: Final answer
    x = 1,471.66

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