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Finding the Fourth Proportional to 1,880.82, 2,595.53 and 1,052.82

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Solution

The fourth proportional to 1,880.82, 2,595.53 and 1,052.82 is: 1,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.82 : 2,595.53 = 1,052.82 : x
  2. Step 2: Convert to fraction form
    1,880.82/2,595.53 = 1,052.82/x
  3. Step 3: Cross multiply
    1,880.82x = 2,595.53 × 1,052.82
  4. Step 4: Simplify right side
    1,880.82x = 2,732,620.63
  5. Step 5: Solve for x
    x = 2,732,620.63/1,880.82
  6. Step 6: Final answer
    x = 1,452.89

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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.