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Finding the Fourth Proportional to 1,671.55, 2,506.63 and 631.38

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Solution

The fourth proportional to 1,671.55, 2,506.63 and 631.38 is: 946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.55 : 2,506.63 = 631.38 : x
  2. Step 2: Convert to fraction form
    1,671.55/2,506.63 = 631.38/x
  3. Step 3: Cross multiply
    1,671.55x = 2,506.63 × 631.38
  4. Step 4: Simplify right side
    1,671.55x = 1,582,636.05
  5. Step 5: Solve for x
    x = 1,582,636.05/1,671.55
  6. Step 6: Final answer
    x = 946.81

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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.