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Finding the Fourth Proportional to 2,875.44, 4,303.40 and 2,006

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Solution

The fourth proportional to 2,875.44, 4,303.40 and 2,006 is: 3,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.44 : 4,303.40 = 2,006 : x
  2. Step 2: Convert to fraction form
    2,875.44/4,303.40 = 2,006/x
  3. Step 3: Cross multiply
    2,875.44x = 4,303.40 × 2,006
  4. Step 4: Simplify right side
    2,875.44x = 8,632,620.40
  5. Step 5: Solve for x
    x = 8,632,620.40/2,875.44
  6. Step 6: Final answer
    x = 3,002.19

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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.