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Finding the Fourth Proportional to 1,498.64, 2,246.52 and 949.46

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Solution

The fourth proportional to 1,498.64, 2,246.52 and 949.46 is: 1,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.64 : 2,246.52 = 949.46 : x
  2. Step 2: Convert to fraction form
    1,498.64/2,246.52 = 949.46/x
  3. Step 3: Cross multiply
    1,498.64x = 2,246.52 × 949.46
  4. Step 4: Simplify right side
    1,498.64x = 2,132,980.88
  5. Step 5: Solve for x
    x = 2,132,980.88/1,498.64
  6. Step 6: Final answer
    x = 1,423.28

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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.