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Finding the Fourth Proportional to 2,456.64, 3,688.16 and 2,356.80

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Solution

The fourth proportional to 2,456.64, 3,688.16 and 2,356.80 is: 3,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.64 : 3,688.16 = 2,356.80 : x
  2. Step 2: Convert to fraction form
    2,456.64/3,688.16 = 2,356.80/x
  3. Step 3: Cross multiply
    2,456.64x = 3,688.16 × 2,356.80
  4. Step 4: Simplify right side
    2,456.64x = 8,692,255.49
  5. Step 5: Solve for x
    x = 8,692,255.49/2,456.64
  6. Step 6: Final answer
    x = 3,538.27

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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.