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Finding the Fourth Proportional to 2,953.96, 4,077.09 and 1,695.22

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Solution

The fourth proportional to 2,953.96, 4,077.09 and 1,695.22 is: 2,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.96 : 4,077.09 = 1,695.22 : x
  2. Step 2: Convert to fraction form
    2,953.96/4,077.09 = 1,695.22/x
  3. Step 3: Cross multiply
    2,953.96x = 4,077.09 × 1,695.22
  4. Step 4: Simplify right side
    2,953.96x = 6,911,564.51
  5. Step 5: Solve for x
    x = 6,911,564.51/2,953.96
  6. Step 6: Final answer
    x = 2,339.76

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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.