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Finding the Fourth Proportional to 2,176.40, 3,003.72 and 1,478

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Solution

The fourth proportional to 2,176.40, 3,003.72 and 1,478 is: 2,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.40 : 3,003.72 = 1,478 : x
  2. Step 2: Convert to fraction form
    2,176.40/3,003.72 = 1,478/x
  3. Step 3: Cross multiply
    2,176.40x = 3,003.72 × 1,478
  4. Step 4: Simplify right side
    2,176.40x = 4,439,498.16
  5. Step 5: Solve for x
    x = 4,439,498.16/2,176.40
  6. Step 6: Final answer
    x = 2,039.84

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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.