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Finding the Fourth Proportional to 2,421.56, 3,632.34 and 690.19

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Solution

The fourth proportional to 2,421.56, 3,632.34 and 690.19 is: 1,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.56 : 3,632.34 = 690.19 : x
  2. Step 2: Convert to fraction form
    2,421.56/3,632.34 = 690.19/x
  3. Step 3: Cross multiply
    2,421.56x = 3,632.34 × 690.19
  4. Step 4: Simplify right side
    2,421.56x = 2,506,998.25
  5. Step 5: Solve for x
    x = 2,506,998.25/2,421.56
  6. Step 6: Final answer
    x = 1,035.28

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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.