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Finding the Fourth Proportional to 2,402.64, 3,580.07 and 2,140.63

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Solution

The fourth proportional to 2,402.64, 3,580.07 and 2,140.63 is: 3,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.64 : 3,580.07 = 2,140.63 : x
  2. Step 2: Convert to fraction form
    2,402.64/3,580.07 = 2,140.63/x
  3. Step 3: Cross multiply
    2,402.64x = 3,580.07 × 2,140.63
  4. Step 4: Simplify right side
    2,402.64x = 7,663,592.70
  5. Step 5: Solve for x
    x = 7,663,592.70/2,402.64
  6. Step 6: Final answer
    x = 3,189.66

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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.