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Finding the Fourth Proportional to 1,671.19, 2,506.93 and 438.59

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Solution

The fourth proportional to 1,671.19, 2,506.93 and 438.59 is: 657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.19 : 2,506.93 = 438.59 : x
  2. Step 2: Convert to fraction form
    1,671.19/2,506.93 = 438.59/x
  3. Step 3: Cross multiply
    1,671.19x = 2,506.93 × 438.59
  4. Step 4: Simplify right side
    1,671.19x = 1,099,519.60
  5. Step 5: Solve for x
    x = 1,099,519.60/1,671.19
  6. Step 6: Final answer
    x = 657.93

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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.