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Finding the Fourth Proportional to 1,421.95, 2,134.24 and 729.11

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Solution

The fourth proportional to 1,421.95, 2,134.24 and 729.11 is: 1,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.95 : 2,134.24 = 729.11 : x
  2. Step 2: Convert to fraction form
    1,421.95/2,134.24 = 729.11/x
  3. Step 3: Cross multiply
    1,421.95x = 2,134.24 × 729.11
  4. Step 4: Simplify right side
    1,421.95x = 1,556,095.73
  5. Step 5: Solve for x
    x = 1,556,095.73/1,421.95
  6. Step 6: Final answer
    x = 1,094.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.