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Finding the Fourth Proportional to 2,858.15, 4,287.54 and 909.91

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Solution

The fourth proportional to 2,858.15, 4,287.54 and 909.91 is: 1,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.15 : 4,287.54 = 909.91 : x
  2. Step 2: Convert to fraction form
    2,858.15/4,287.54 = 909.91/x
  3. Step 3: Cross multiply
    2,858.15x = 4,287.54 × 909.91
  4. Step 4: Simplify right side
    2,858.15x = 3,901,254.08
  5. Step 5: Solve for x
    x = 3,901,254.08/2,858.15
  6. Step 6: Final answer
    x = 1,364.96

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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.