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Finding the Fourth Proportional to 1,830.57, 2,746.13 and 531.87

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Solution

The fourth proportional to 1,830.57, 2,746.13 and 531.87 is: 797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.57 : 2,746.13 = 531.87 : x
  2. Step 2: Convert to fraction form
    1,830.57/2,746.13 = 531.87/x
  3. Step 3: Cross multiply
    1,830.57x = 2,746.13 × 531.87
  4. Step 4: Simplify right side
    1,830.57x = 1,460,584.16
  5. Step 5: Solve for x
    x = 1,460,584.16/1,830.57
  6. Step 6: Final answer
    x = 797.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.