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Finding the Fourth Proportional to 1,788.95, 2,469.89 and 1,458.16

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Solution

The fourth proportional to 1,788.95, 2,469.89 and 1,458.16 is: 2,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.95 : 2,469.89 = 1,458.16 : x
  2. Step 2: Convert to fraction form
    1,788.95/2,469.89 = 1,458.16/x
  3. Step 3: Cross multiply
    1,788.95x = 2,469.89 × 1,458.16
  4. Step 4: Simplify right side
    1,788.95x = 3,601,501.54
  5. Step 5: Solve for x
    x = 3,601,501.54/1,788.95
  6. Step 6: Final answer
    x = 2,013.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.