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Finding the Fourth Proportional to 3,070.29, 4,235.81 and 1,743.82

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Solution

The fourth proportional to 3,070.29, 4,235.81 and 1,743.82 is: 2,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.29 : 4,235.81 = 1,743.82 : x
  2. Step 2: Convert to fraction form
    3,070.29/4,235.81 = 1,743.82/x
  3. Step 3: Cross multiply
    3,070.29x = 4,235.81 × 1,743.82
  4. Step 4: Simplify right side
    3,070.29x = 7,386,490.19
  5. Step 5: Solve for x
    x = 7,386,490.19/3,070.29
  6. Step 6: Final answer
    x = 2,405.80

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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.