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Finding the Fourth Proportional to 2,755.10, 3,802.64 and 1,746.16

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Solution

The fourth proportional to 2,755.10, 3,802.64 and 1,746.16 is: 2,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.10 : 3,802.64 = 1,746.16 : x
  2. Step 2: Convert to fraction form
    2,755.10/3,802.64 = 1,746.16/x
  3. Step 3: Cross multiply
    2,755.10x = 3,802.64 × 1,746.16
  4. Step 4: Simplify right side
    2,755.10x = 6,639,999.63
  5. Step 5: Solve for x
    x = 6,639,999.63/2,755.10
  6. Step 6: Final answer
    x = 2,410.07

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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.