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Finding the Fourth Proportional to 3,114.40, 4,671.60 and 1,386.40

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Solution

The fourth proportional to 3,114.40, 4,671.60 and 1,386.40 is: 2,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.40 : 4,671.60 = 1,386.40 : x
  2. Step 2: Convert to fraction form
    3,114.40/4,671.60 = 1,386.40/x
  3. Step 3: Cross multiply
    3,114.40x = 4,671.60 × 1,386.40
  4. Step 4: Simplify right side
    3,114.40x = 6,476,706.24
  5. Step 5: Solve for x
    x = 6,476,706.24/3,114.40
  6. Step 6: Final answer
    x = 2,079.60

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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.