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Finding the Fourth Proportional to 2,858.36, 4,290.17 and 1,472.65

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Solution

The fourth proportional to 2,858.36, 4,290.17 and 1,472.65 is: 2,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.36 : 4,290.17 = 1,472.65 : x
  2. Step 2: Convert to fraction form
    2,858.36/4,290.17 = 1,472.65/x
  3. Step 3: Cross multiply
    2,858.36x = 4,290.17 × 1,472.65
  4. Step 4: Simplify right side
    2,858.36x = 6,317,900.76
  5. Step 5: Solve for x
    x = 6,317,900.76/2,858.36
  6. Step 6: Final answer
    x = 2,210.33

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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.