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Finding the Fourth Proportional to 3,066.65, 4,595.26 and 1,421.28

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Solution

The fourth proportional to 3,066.65, 4,595.26 and 1,421.28 is: 2,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.65 : 4,595.26 = 1,421.28 : x
  2. Step 2: Convert to fraction form
    3,066.65/4,595.26 = 1,421.28/x
  3. Step 3: Cross multiply
    3,066.65x = 4,595.26 × 1,421.28
  4. Step 4: Simplify right side
    3,066.65x = 6,531,151.13
  5. Step 5: Solve for x
    x = 6,531,151.13/3,066.65
  6. Step 6: Final answer
    x = 2,129.73

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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.