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Finding the Fourth Proportional to 1,437.64, 2,153.64 and 949.24

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Solution

The fourth proportional to 1,437.64, 2,153.64 and 949.24 is: 1,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.64 : 2,153.64 = 949.24 : x
  2. Step 2: Convert to fraction form
    1,437.64/2,153.64 = 949.24/x
  3. Step 3: Cross multiply
    1,437.64x = 2,153.64 × 949.24
  4. Step 4: Simplify right side
    1,437.64x = 2,044,321.23
  5. Step 5: Solve for x
    x = 2,044,321.23/1,437.64
  6. Step 6: Final answer
    x = 1,422.00

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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.