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Finding the Fourth Proportional to 2,473.38, 3,710.34 and 1,012.32

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Solution

The fourth proportional to 2,473.38, 3,710.34 and 1,012.32 is: 1,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.38 : 3,710.34 = 1,012.32 : x
  2. Step 2: Convert to fraction form
    2,473.38/3,710.34 = 1,012.32/x
  3. Step 3: Cross multiply
    2,473.38x = 3,710.34 × 1,012.32
  4. Step 4: Simplify right side
    2,473.38x = 3,756,051.39
  5. Step 5: Solve for x
    x = 3,756,051.39/2,473.38
  6. Step 6: Final answer
    x = 1,518.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.