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Finding the Fourth Proportional to 2,749.51, 3,783 and 2,417.37

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Solution

The fourth proportional to 2,749.51, 3,783 and 2,417.37 is: 3,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.51 : 3,783 = 2,417.37 : x
  2. Step 2: Convert to fraction form
    2,749.51/3,783 = 2,417.37/x
  3. Step 3: Cross multiply
    2,749.51x = 3,783 × 2,417.37
  4. Step 4: Simplify right side
    2,749.51x = 9,144,910.71
  5. Step 5: Solve for x
    x = 9,144,910.71/2,749.51
  6. Step 6: Final answer
    x = 3,326.01

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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.