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Finding the Fourth Proportional to 1,295.19, 1,777.80 and 1,152.17

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Solution

The fourth proportional to 1,295.19, 1,777.80 and 1,152.17 is: 1,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.19 : 1,777.80 = 1,152.17 : x
  2. Step 2: Convert to fraction form
    1,295.19/1,777.80 = 1,152.17/x
  3. Step 3: Cross multiply
    1,295.19x = 1,777.80 × 1,152.17
  4. Step 4: Simplify right side
    1,295.19x = 2,048,333.44
  5. Step 5: Solve for x
    x = 2,048,333.44/1,295.19
  6. Step 6: Final answer
    x = 1,581.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.