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Finding the Fourth Proportional to 1,729.05, 2,374.02 and 1,683.95

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Solution

The fourth proportional to 1,729.05, 2,374.02 and 1,683.95 is: 2,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.05 : 2,374.02 = 1,683.95 : x
  2. Step 2: Convert to fraction form
    1,729.05/2,374.02 = 1,683.95/x
  3. Step 3: Cross multiply
    1,729.05x = 2,374.02 × 1,683.95
  4. Step 4: Simplify right side
    1,729.05x = 3,997,719.11
  5. Step 5: Solve for x
    x = 3,997,719.11/1,729.05
  6. Step 6: Final answer
    x = 2,312.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.