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Finding the Fourth Proportional to 1,782.16, 2,457.52 and 1,534.32

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Solution

The fourth proportional to 1,782.16, 2,457.52 and 1,534.32 is: 2,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.16 : 2,457.52 = 1,534.32 : x
  2. Step 2: Convert to fraction form
    1,782.16/2,457.52 = 1,534.32/x
  3. Step 3: Cross multiply
    1,782.16x = 2,457.52 × 1,534.32
  4. Step 4: Simplify right side
    1,782.16x = 3,770,622.09
  5. Step 5: Solve for x
    x = 3,770,622.09/1,782.16
  6. Step 6: Final answer
    x = 2,115.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.