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Finding the Fourth Proportional to 1,729.78, 2,592.27 and 948.84

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Solution

The fourth proportional to 1,729.78, 2,592.27 and 948.84 is: 1,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.78 : 2,592.27 = 948.84 : x
  2. Step 2: Convert to fraction form
    1,729.78/2,592.27 = 948.84/x
  3. Step 3: Cross multiply
    1,729.78x = 2,592.27 × 948.84
  4. Step 4: Simplify right side
    1,729.78x = 2,459,649.47
  5. Step 5: Solve for x
    x = 2,459,649.47/1,729.78
  6. Step 6: Final answer
    x = 1,421.94

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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.