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Finding the Fourth Proportional to 4,590, 6,884.98 and 1,303.09

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Solution

The fourth proportional to 4,590, 6,884.98 and 1,303.09 is: 1,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,884.98 = 1,303.09 : x
  2. Step 2: Convert to fraction form
    4,590/6,884.98 = 1,303.09/x
  3. Step 3: Cross multiply
    4,590x = 6,884.98 × 1,303.09
  4. Step 4: Simplify right side
    4,590x = 8,971,774.18
  5. Step 5: Solve for x
    x = 8,971,774.18/4,590
  6. Step 6: Final answer
    x = 1,954.63

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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.