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Finding the Fourth Proportional to 4,295.50, 6,444.06 and 1,987

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Solution

The fourth proportional to 4,295.50, 6,444.06 and 1,987 is: 2,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.50 : 6,444.06 = 1,987 : x
  2. Step 2: Convert to fraction form
    4,295.50/6,444.06 = 1,987/x
  3. Step 3: Cross multiply
    4,295.50x = 6,444.06 × 1,987
  4. Step 4: Simplify right side
    4,295.50x = 12,804,347.22
  5. Step 5: Solve for x
    x = 12,804,347.22/4,295.50
  6. Step 6: Final answer
    x = 2,980.87

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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.