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Finding the Fourth Proportional to 3,148.57, 4,345.05 and 1,732.22

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Solution

The fourth proportional to 3,148.57, 4,345.05 and 1,732.22 is: 2,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.57 : 4,345.05 = 1,732.22 : x
  2. Step 2: Convert to fraction form
    3,148.57/4,345.05 = 1,732.22/x
  3. Step 3: Cross multiply
    3,148.57x = 4,345.05 × 1,732.22
  4. Step 4: Simplify right side
    3,148.57x = 7,526,582.51
  5. Step 5: Solve for x
    x = 7,526,582.51/3,148.57
  6. Step 6: Final answer
    x = 2,390.48

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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.