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Finding the Fourth Proportional to 2,113.70, 3,167.80 and 1,530.68

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Solution

The fourth proportional to 2,113.70, 3,167.80 and 1,530.68 is: 2,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.70 : 3,167.80 = 1,530.68 : x
  2. Step 2: Convert to fraction form
    2,113.70/3,167.80 = 1,530.68/x
  3. Step 3: Cross multiply
    2,113.70x = 3,167.80 × 1,530.68
  4. Step 4: Simplify right side
    2,113.70x = 4,848,888.10
  5. Step 5: Solve for x
    x = 4,848,888.10/2,113.70
  6. Step 6: Final answer
    x = 2,294.03

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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.