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Finding the Fourth Proportional to 3,051.78, 4,576.95 and 1,407.30

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Solution

The fourth proportional to 3,051.78, 4,576.95 and 1,407.30 is: 2,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.78 : 4,576.95 = 1,407.30 : x
  2. Step 2: Convert to fraction form
    3,051.78/4,576.95 = 1,407.30/x
  3. Step 3: Cross multiply
    3,051.78x = 4,576.95 × 1,407.30
  4. Step 4: Simplify right side
    3,051.78x = 6,441,141.74
  5. Step 5: Solve for x
    x = 6,441,141.74/3,051.78
  6. Step 6: Final answer
    x = 2,110.62

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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.