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Finding the Fourth Proportional to 1,442.41, 2,160.76 and 953.98

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Solution

The fourth proportional to 1,442.41, 2,160.76 and 953.98 is: 1,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.41 : 2,160.76 = 953.98 : x
  2. Step 2: Convert to fraction form
    1,442.41/2,160.76 = 953.98/x
  3. Step 3: Cross multiply
    1,442.41x = 2,160.76 × 953.98
  4. Step 4: Simplify right side
    1,442.41x = 2,061,321.82
  5. Step 5: Solve for x
    x = 2,061,321.82/1,442.41
  6. Step 6: Final answer
    x = 1,429.08

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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.