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Finding the Fourth Proportional to 1,591.12, 2,386.38 and 436.96

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Solution

The fourth proportional to 1,591.12, 2,386.38 and 436.96 is: 655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.12 : 2,386.38 = 436.96 : x
  2. Step 2: Convert to fraction form
    1,591.12/2,386.38 = 436.96/x
  3. Step 3: Cross multiply
    1,591.12x = 2,386.38 × 436.96
  4. Step 4: Simplify right side
    1,591.12x = 1,042,752.60
  5. Step 5: Solve for x
    x = 1,042,752.60/1,591.12
  6. Step 6: Final answer
    x = 655.36

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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.