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Finding the Fourth Proportional to 4,303.59, 6,452.59 and 1,806.50

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Solution

The fourth proportional to 4,303.59, 6,452.59 and 1,806.50 is: 2,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.59 : 6,452.59 = 1,806.50 : x
  2. Step 2: Convert to fraction form
    4,303.59/6,452.59 = 1,806.50/x
  3. Step 3: Cross multiply
    4,303.59x = 6,452.59 × 1,806.50
  4. Step 4: Simplify right side
    4,303.59x = 11,656,603.84
  5. Step 5: Solve for x
    x = 11,656,603.84/4,303.59
  6. Step 6: Final answer
    x = 2,708.58

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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.