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Finding the Fourth Proportional to 3,076.19, 4,615.64 and 1,615.00

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Solution

The fourth proportional to 3,076.19, 4,615.64 and 1,615.00 is: 2,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.19 : 4,615.64 = 1,615.00 : x
  2. Step 2: Convert to fraction form
    3,076.19/4,615.64 = 1,615.00/x
  3. Step 3: Cross multiply
    3,076.19x = 4,615.64 × 1,615.00
  4. Step 4: Simplify right side
    3,076.19x = 7,454,256.29
  5. Step 5: Solve for x
    x = 7,454,256.29/3,076.19
  6. Step 6: Final answer
    x = 2,423.21

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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.