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Finding the Fourth Proportional to 2,671.41, 3,688.08 and 1,776.36

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Solution

The fourth proportional to 2,671.41, 3,688.08 and 1,776.36 is: 2,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.41 : 3,688.08 = 1,776.36 : x
  2. Step 2: Convert to fraction form
    2,671.41/3,688.08 = 1,776.36/x
  3. Step 3: Cross multiply
    2,671.41x = 3,688.08 × 1,776.36
  4. Step 4: Simplify right side
    2,671.41x = 6,551,357.79
  5. Step 5: Solve for x
    x = 6,551,357.79/2,671.41
  6. Step 6: Final answer
    x = 2,452.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.