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Finding the Fourth Proportional to 1,576.94, 2,362.65 and 1,407.44

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Solution

The fourth proportional to 1,576.94, 2,362.65 and 1,407.44 is: 2,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.94 : 2,362.65 = 1,407.44 : x
  2. Step 2: Convert to fraction form
    1,576.94/2,362.65 = 1,407.44/x
  3. Step 3: Cross multiply
    1,576.94x = 2,362.65 × 1,407.44
  4. Step 4: Simplify right side
    1,576.94x = 3,325,276.30
  5. Step 5: Solve for x
    x = 3,325,276.30/1,576.94
  6. Step 6: Final answer
    x = 2,108.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.