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Finding the Fourth Proportional to 1,776.32, 2,657.46 and 1,362.32

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Solution

The fourth proportional to 1,776.32, 2,657.46 and 1,362.32 is: 2,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.32 : 2,657.46 = 1,362.32 : x
  2. Step 2: Convert to fraction form
    1,776.32/2,657.46 = 1,362.32/x
  3. Step 3: Cross multiply
    1,776.32x = 2,657.46 × 1,362.32
  4. Step 4: Simplify right side
    1,776.32x = 3,620,310.91
  5. Step 5: Solve for x
    x = 3,620,310.91/1,776.32
  6. Step 6: Final answer
    x = 2,038.10

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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.