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Finding the Fourth Proportional to 3,277.84, 4,523.36 and 1,880.48

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Solution

The fourth proportional to 3,277.84, 4,523.36 and 1,880.48 is: 2,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.84 : 4,523.36 = 1,880.48 : x
  2. Step 2: Convert to fraction form
    3,277.84/4,523.36 = 1,880.48/x
  3. Step 3: Cross multiply
    3,277.84x = 4,523.36 × 1,880.48
  4. Step 4: Simplify right side
    3,277.84x = 8,506,088.01
  5. Step 5: Solve for x
    x = 8,506,088.01/3,277.84
  6. Step 6: Final answer
    x = 2,595.03

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