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Finding the Fourth Proportional to 2,717.24, 3,750.48 and 1,670.24

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Solution

The fourth proportional to 2,717.24, 3,750.48 and 1,670.24 is: 2,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.24 : 3,750.48 = 1,670.24 : x
  2. Step 2: Convert to fraction form
    2,717.24/3,750.48 = 1,670.24/x
  3. Step 3: Cross multiply
    2,717.24x = 3,750.48 × 1,670.24
  4. Step 4: Simplify right side
    2,717.24x = 6,264,201.72
  5. Step 5: Solve for x
    x = 6,264,201.72/2,717.24
  6. Step 6: Final answer
    x = 2,305.35

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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.