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Finding the Fourth Proportional to 1,421.83, 2,133.12 and 1,266.72

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Solution

The fourth proportional to 1,421.83, 2,133.12 and 1,266.72 is: 1,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.83 : 2,133.12 = 1,266.72 : x
  2. Step 2: Convert to fraction form
    1,421.83/2,133.12 = 1,266.72/x
  3. Step 3: Cross multiply
    1,421.83x = 2,133.12 × 1,266.72
  4. Step 4: Simplify right side
    1,421.83x = 2,702,064.14
  5. Step 5: Solve for x
    x = 2,702,064.14/1,421.83
  6. Step 6: Final answer
    x = 1,900.41

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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.