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Finding the Fourth Proportional to 2,402.63, 3,585.08 and 2,157.20

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Solution

The fourth proportional to 2,402.63, 3,585.08 and 2,157.20 is: 3,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.63 : 3,585.08 = 2,157.20 : x
  2. Step 2: Convert to fraction form
    2,402.63/3,585.08 = 2,157.20/x
  3. Step 3: Cross multiply
    2,402.63x = 3,585.08 × 2,157.20
  4. Step 4: Simplify right side
    2,402.63x = 7,733,705.86
  5. Step 5: Solve for x
    x = 7,733,705.86/2,402.63
  6. Step 6: Final answer
    x = 3,218.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.