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Finding the Fourth Proportional to 2,051.79, 3,076.59 and 955.20

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Solution

The fourth proportional to 2,051.79, 3,076.59 and 955.20 is: 1,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.79 : 3,076.59 = 955.20 : x
  2. Step 2: Convert to fraction form
    2,051.79/3,076.59 = 955.20/x
  3. Step 3: Cross multiply
    2,051.79x = 3,076.59 × 955.20
  4. Step 4: Simplify right side
    2,051.79x = 2,938,758.77
  5. Step 5: Solve for x
    x = 2,938,758.77/2,051.79
  6. Step 6: Final answer
    x = 1,432.29

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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.