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Finding the Fourth Proportional to 2,113.10, 3,170.00 and 651.92

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Solution

The fourth proportional to 2,113.10, 3,170.00 and 651.92 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.10 : 3,170.00 = 651.92 : x
  2. Step 2: Convert to fraction form
    2,113.10/3,170.00 = 651.92/x
  3. Step 3: Cross multiply
    2,113.10x = 3,170.00 × 651.92
  4. Step 4: Simplify right side
    2,113.10x = 2,066,567.29
  5. Step 5: Solve for x
    x = 2,066,567.29/2,113.10
  6. Step 6: Final answer
    x = 977.98

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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.