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Finding the Fourth Proportional to 2,904.86, 4,356.84 and 957.08

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Solution

The fourth proportional to 2,904.86, 4,356.84 and 957.08 is: 1,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.86 : 4,356.84 = 957.08 : x
  2. Step 2: Convert to fraction form
    2,904.86/4,356.84 = 957.08/x
  3. Step 3: Cross multiply
    2,904.86x = 4,356.84 × 957.08
  4. Step 4: Simplify right side
    2,904.86x = 4,169,844.43
  5. Step 5: Solve for x
    x = 4,169,844.43/2,904.86
  6. Step 6: Final answer
    x = 1,435.47

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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.