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Finding the Fourth Proportional to 1,673.84, 2,511.98 and 1,430.84

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Solution

The fourth proportional to 1,673.84, 2,511.98 and 1,430.84 is: 2,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.84 : 2,511.98 = 1,430.84 : x
  2. Step 2: Convert to fraction form
    1,673.84/2,511.98 = 1,430.84/x
  3. Step 3: Cross multiply
    1,673.84x = 2,511.98 × 1,430.84
  4. Step 4: Simplify right side
    1,673.84x = 3,594,241.46
  5. Step 5: Solve for x
    x = 3,594,241.46/1,673.84
  6. Step 6: Final answer
    x = 2,147.30

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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.