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Finding the Fourth Proportional to 2,176.88, 3,004.71 and 1,784.84

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Solution

The fourth proportional to 2,176.88, 3,004.71 and 1,784.84 is: 2,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.88 : 3,004.71 = 1,784.84 : x
  2. Step 2: Convert to fraction form
    2,176.88/3,004.71 = 1,784.84/x
  3. Step 3: Cross multiply
    2,176.88x = 3,004.71 × 1,784.84
  4. Step 4: Simplify right side
    2,176.88x = 5,362,926.60
  5. Step 5: Solve for x
    x = 5,362,926.60/2,176.88
  6. Step 6: Final answer
    x = 2,463.58

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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.