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Finding the Fourth Proportional to 2,159.41, 2,980.43 and 1,411.98

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Solution

The fourth proportional to 2,159.41, 2,980.43 and 1,411.98 is: 1,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.41 : 2,980.43 = 1,411.98 : x
  2. Step 2: Convert to fraction form
    2,159.41/2,980.43 = 1,411.98/x
  3. Step 3: Cross multiply
    2,159.41x = 2,980.43 × 1,411.98
  4. Step 4: Simplify right side
    2,159.41x = 4,208,285.59
  5. Step 5: Solve for x
    x = 4,208,285.59/2,159.41
  6. Step 6: Final answer
    x = 1,948.82

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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.