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Finding the Fourth Proportional to 2,295.02, 3,432.02 and 1,710.44

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Solution

The fourth proportional to 2,295.02, 3,432.02 and 1,710.44 is: 2,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.02 : 3,432.02 = 1,710.44 : x
  2. Step 2: Convert to fraction form
    2,295.02/3,432.02 = 1,710.44/x
  3. Step 3: Cross multiply
    2,295.02x = 3,432.02 × 1,710.44
  4. Step 4: Simplify right side
    2,295.02x = 5,870,238.58
  5. Step 5: Solve for x
    x = 5,870,238.58/2,295.02
  6. Step 6: Final answer
    x = 2,557.82

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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.