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Finding the Fourth Proportional to 2,320.04, 3,478.08 and 858.92

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Solution

The fourth proportional to 2,320.04, 3,478.08 and 858.92 is: 1,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.04 : 3,478.08 = 858.92 : x
  2. Step 2: Convert to fraction form
    2,320.04/3,478.08 = 858.92/x
  3. Step 3: Cross multiply
    2,320.04x = 3,478.08 × 858.92
  4. Step 4: Simplify right side
    2,320.04x = 2,987,392.47
  5. Step 5: Solve for x
    x = 2,987,392.47/2,320.04
  6. Step 6: Final answer
    x = 1,287.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.