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Finding the Fourth Proportional to 2,421.64, 3,633.06 and 690.26

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Solution

The fourth proportional to 2,421.64, 3,633.06 and 690.26 is: 1,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.64 : 3,633.06 = 690.26 : x
  2. Step 2: Convert to fraction form
    2,421.64/3,633.06 = 690.26/x
  3. Step 3: Cross multiply
    2,421.64x = 3,633.06 × 690.26
  4. Step 4: Simplify right side
    2,421.64x = 2,507,756.00
  5. Step 5: Solve for x
    x = 2,507,756.00/2,421.64
  6. Step 6: Final answer
    x = 1,035.56

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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.