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Finding the Fourth Proportional to 2,182.48, 3,012.70 and 1,484.28

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Solution

The fourth proportional to 2,182.48, 3,012.70 and 1,484.28 is: 2,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.48 : 3,012.70 = 1,484.28 : x
  2. Step 2: Convert to fraction form
    2,182.48/3,012.70 = 1,484.28/x
  3. Step 3: Cross multiply
    2,182.48x = 3,012.70 × 1,484.28
  4. Step 4: Simplify right side
    2,182.48x = 4,471,690.36
  5. Step 5: Solve for x
    x = 4,471,690.36/2,182.48
  6. Step 6: Final answer
    x = 2,048.90

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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.