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Finding the Fourth Proportional to 1,671.42, 2,506.71 and 890.71

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Solution

The fourth proportional to 1,671.42, 2,506.71 and 890.71 is: 1,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.42 : 2,506.71 = 890.71 : x
  2. Step 2: Convert to fraction form
    1,671.42/2,506.71 = 890.71/x
  3. Step 3: Cross multiply
    1,671.42x = 2,506.71 × 890.71
  4. Step 4: Simplify right side
    1,671.42x = 2,232,751.66
  5. Step 5: Solve for x
    x = 2,232,751.66/1,671.42
  6. Step 6: Final answer
    x = 1,335.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.