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Finding the Fourth Proportional to 2,904.88, 4,358 and 957.02

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Solution

The fourth proportional to 2,904.88, 4,358 and 957.02 is: 1,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.88 : 4,358 = 957.02 : x
  2. Step 2: Convert to fraction form
    2,904.88/4,358 = 957.02/x
  3. Step 3: Cross multiply
    2,904.88x = 4,358 × 957.02
  4. Step 4: Simplify right side
    2,904.88x = 4,170,693.16
  5. Step 5: Solve for x
    x = 4,170,693.16/2,904.88
  6. Step 6: Final answer
    x = 1,435.75

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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.