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Finding the Fourth Proportional to 3,189.59, 4,402.07 and 1,931.45

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Solution

The fourth proportional to 3,189.59, 4,402.07 and 1,931.45 is: 2,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.59 : 4,402.07 = 1,931.45 : x
  2. Step 2: Convert to fraction form
    3,189.59/4,402.07 = 1,931.45/x
  3. Step 3: Cross multiply
    3,189.59x = 4,402.07 × 1,931.45
  4. Step 4: Simplify right side
    3,189.59x = 8,502,378.10
  5. Step 5: Solve for x
    x = 8,502,378.10/3,189.59
  6. Step 6: Final answer
    x = 2,665.66

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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.