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Finding the Fourth Proportional to 2,953.84, 4,427.56 and 1,490.16

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Solution

The fourth proportional to 2,953.84, 4,427.56 and 1,490.16 is: 2,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.84 : 4,427.56 = 1,490.16 : x
  2. Step 2: Convert to fraction form
    2,953.84/4,427.56 = 1,490.16/x
  3. Step 3: Cross multiply
    2,953.84x = 4,427.56 × 1,490.16
  4. Step 4: Simplify right side
    2,953.84x = 6,597,772.81
  5. Step 5: Solve for x
    x = 6,597,772.81/2,953.84
  6. Step 6: Final answer
    x = 2,233.63

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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.