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Finding the Fourth Proportional to 2,456.59, 3,684.60 and 2,312.03

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Solution

The fourth proportional to 2,456.59, 3,684.60 and 2,312.03 is: 3,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.59 : 3,684.60 = 2,312.03 : x
  2. Step 2: Convert to fraction form
    2,456.59/3,684.60 = 2,312.03/x
  3. Step 3: Cross multiply
    2,456.59x = 3,684.60 × 2,312.03
  4. Step 4: Simplify right side
    2,456.59x = 8,518,894.18
  5. Step 5: Solve for x
    x = 8,518,894.18/2,456.59
  6. Step 6: Final answer
    x = 3,467.78

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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.