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Finding the Fourth Proportional to 2,419.16, 3,632.10 and 1,602.68

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Solution

The fourth proportional to 2,419.16, 3,632.10 and 1,602.68 is: 2,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.16 : 3,632.10 = 1,602.68 : x
  2. Step 2: Convert to fraction form
    2,419.16/3,632.10 = 1,602.68/x
  3. Step 3: Cross multiply
    2,419.16x = 3,632.10 × 1,602.68
  4. Step 4: Simplify right side
    2,419.16x = 5,821,094.03
  5. Step 5: Solve for x
    x = 5,821,094.03/2,419.16
  6. Step 6: Final answer
    x = 2,406.25

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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.