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Finding the Fourth Proportional to 4,590, 6,883.97 and 1,303.02

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Solution

The fourth proportional to 4,590, 6,883.97 and 1,303.02 is: 1,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,883.97 = 1,303.02 : x
  2. Step 2: Convert to fraction form
    4,590/6,883.97 = 1,303.02/x
  3. Step 3: Cross multiply
    4,590x = 6,883.97 × 1,303.02
  4. Step 4: Simplify right side
    4,590x = 8,969,950.59
  5. Step 5: Solve for x
    x = 8,969,950.59/4,590
  6. Step 6: Final answer
    x = 1,954.24

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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.