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Finding the Fourth Proportional to 1,880.21, 2,594.68 and 1,052.21

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Solution

The fourth proportional to 1,880.21, 2,594.68 and 1,052.21 is: 1,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.21 : 2,594.68 = 1,052.21 : x
  2. Step 2: Convert to fraction form
    1,880.21/2,594.68 = 1,052.21/x
  3. Step 3: Cross multiply
    1,880.21x = 2,594.68 × 1,052.21
  4. Step 4: Simplify right side
    1,880.21x = 2,730,152.10
  5. Step 5: Solve for x
    x = 2,730,152.10/1,880.21
  6. Step 6: Final answer
    x = 1,452.04

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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.