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Finding the Fourth Proportional to 2,804.42, 4,206.72 and 955.58

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Solution

The fourth proportional to 2,804.42, 4,206.72 and 955.58 is: 1,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.42 : 4,206.72 = 955.58 : x
  2. Step 2: Convert to fraction form
    2,804.42/4,206.72 = 955.58/x
  3. Step 3: Cross multiply
    2,804.42x = 4,206.72 × 955.58
  4. Step 4: Simplify right side
    2,804.42x = 4,019,857.50
  5. Step 5: Solve for x
    x = 4,019,857.50/2,804.42
  6. Step 6: Final answer
    x = 1,433.40

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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.