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Finding the Fourth Proportional to 3,177.64, 4,385.28 and 1,780.38

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Solution

The fourth proportional to 3,177.64, 4,385.28 and 1,780.38 is: 2,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.64 : 4,385.28 = 1,780.38 : x
  2. Step 2: Convert to fraction form
    3,177.64/4,385.28 = 1,780.38/x
  3. Step 3: Cross multiply
    3,177.64x = 4,385.28 × 1,780.38
  4. Step 4: Simplify right side
    3,177.64x = 7,807,464.81
  5. Step 5: Solve for x
    x = 7,807,464.81/3,177.64
  6. Step 6: Final answer
    x = 2,457.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.