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Finding the Fourth Proportional to 1,943.57, 2,929.71 and 1,830.71

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Solution

The fourth proportional to 1,943.57, 2,929.71 and 1,830.71 is: 2,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.57 : 2,929.71 = 1,830.71 : x
  2. Step 2: Convert to fraction form
    1,943.57/2,929.71 = 1,830.71/x
  3. Step 3: Cross multiply
    1,943.57x = 2,929.71 × 1,830.71
  4. Step 4: Simplify right side
    1,943.57x = 5,363,463.58
  5. Step 5: Solve for x
    x = 5,363,463.58/1,943.57
  6. Step 6: Final answer
    x = 2,759.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.