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Finding the Fourth Proportional to 2,377.57, 3,281.05 and 1,329.63

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Solution

The fourth proportional to 2,377.57, 3,281.05 and 1,329.63 is: 1,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.57 : 3,281.05 = 1,329.63 : x
  2. Step 2: Convert to fraction form
    2,377.57/3,281.05 = 1,329.63/x
  3. Step 3: Cross multiply
    2,377.57x = 3,281.05 × 1,329.63
  4. Step 4: Simplify right side
    2,377.57x = 4,362,566.11
  5. Step 5: Solve for x
    x = 4,362,566.11/2,377.57
  6. Step 6: Final answer
    x = 1,834.89

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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.