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Finding the Fourth Proportional to 1,577.16, 2,365.86 and 537.20

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Solution

The fourth proportional to 1,577.16, 2,365.86 and 537.20 is: 805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.16 : 2,365.86 = 537.20 : x
  2. Step 2: Convert to fraction form
    1,577.16/2,365.86 = 537.20/x
  3. Step 3: Cross multiply
    1,577.16x = 2,365.86 × 537.20
  4. Step 4: Simplify right side
    1,577.16x = 1,270,939.99
  5. Step 5: Solve for x
    x = 1,270,939.99/1,577.16
  6. Step 6: Final answer
    x = 805.84

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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.