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Finding the Fourth Proportional to 1,577.64, 2,366.49 and 423.36

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Solution

The fourth proportional to 1,577.64, 2,366.49 and 423.36 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.64 : 2,366.49 = 423.36 : x
  2. Step 2: Convert to fraction form
    1,577.64/2,366.49 = 423.36/x
  3. Step 3: Cross multiply
    1,577.64x = 2,366.49 × 423.36
  4. Step 4: Simplify right side
    1,577.64x = 1,001,877.21
  5. Step 5: Solve for x
    x = 1,001,877.21/1,577.64
  6. Step 6: Final answer
    x = 635.05

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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.