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Finding the Fourth Proportional to 2,804.79, 4,208.10 and 957.08

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Solution

The fourth proportional to 2,804.79, 4,208.10 and 957.08 is: 1,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.79 : 4,208.10 = 957.08 : x
  2. Step 2: Convert to fraction form
    2,804.79/4,208.10 = 957.08/x
  3. Step 3: Cross multiply
    2,804.79x = 4,208.10 × 957.08
  4. Step 4: Simplify right side
    2,804.79x = 4,027,462.52
  5. Step 5: Solve for x
    x = 4,027,462.52/2,804.79
  6. Step 6: Final answer
    x = 1,435.92

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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.