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Finding the Fourth Proportional to 3,159.49, 4,360.63 and 1,834.30

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Solution

The fourth proportional to 3,159.49, 4,360.63 and 1,834.30 is: 2,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.49 : 4,360.63 = 1,834.30 : x
  2. Step 2: Convert to fraction form
    3,159.49/4,360.63 = 1,834.30/x
  3. Step 3: Cross multiply
    3,159.49x = 4,360.63 × 1,834.30
  4. Step 4: Simplify right side
    3,159.49x = 7,998,703.61
  5. Step 5: Solve for x
    x = 7,998,703.61/3,159.49
  6. Step 6: Final answer
    x = 2,531.64

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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.