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Finding the Fourth Proportional to 2,312.10, 3,468.76 and 668.78

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Solution

The fourth proportional to 2,312.10, 3,468.76 and 668.78 is: 1,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.10 : 3,468.76 = 668.78 : x
  2. Step 2: Convert to fraction form
    2,312.10/3,468.76 = 668.78/x
  3. Step 3: Cross multiply
    2,312.10x = 3,468.76 × 668.78
  4. Step 4: Simplify right side
    2,312.10x = 2,319,837.31
  5. Step 5: Solve for x
    x = 2,319,837.31/2,312.10
  6. Step 6: Final answer
    x = 1,003.35

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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.