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Finding the Fourth Proportional to 2,421.93, 3,632.10 and 1,496.10

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Solution

The fourth proportional to 2,421.93, 3,632.10 and 1,496.10 is: 2,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.93 : 3,632.10 = 1,496.10 : x
  2. Step 2: Convert to fraction form
    2,421.93/3,632.10 = 1,496.10/x
  3. Step 3: Cross multiply
    2,421.93x = 3,632.10 × 1,496.10
  4. Step 4: Simplify right side
    2,421.93x = 5,433,984.81
  5. Step 5: Solve for x
    x = 5,433,984.81/2,421.93
  6. Step 6: Final answer
    x = 2,243.66

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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.