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Finding the Fourth Proportional to 3,190.84, 4,402.72 and 1,864.60

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Solution

The fourth proportional to 3,190.84, 4,402.72 and 1,864.60 is: 2,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.84 : 4,402.72 = 1,864.60 : x
  2. Step 2: Convert to fraction form
    3,190.84/4,402.72 = 1,864.60/x
  3. Step 3: Cross multiply
    3,190.84x = 4,402.72 × 1,864.60
  4. Step 4: Simplify right side
    3,190.84x = 8,209,311.71
  5. Step 5: Solve for x
    x = 8,209,311.71/3,190.84
  6. Step 6: Final answer
    x = 2,572.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.