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Finding the Fourth Proportional to 1,788.02, 2,465.87 and 1,157.92

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Solution

The fourth proportional to 1,788.02, 2,465.87 and 1,157.92 is: 1,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.02 : 2,465.87 = 1,157.92 : x
  2. Step 2: Convert to fraction form
    1,788.02/2,465.87 = 1,157.92/x
  3. Step 3: Cross multiply
    1,788.02x = 2,465.87 × 1,157.92
  4. Step 4: Simplify right side
    1,788.02x = 2,855,278.43
  5. Step 5: Solve for x
    x = 2,855,278.43/1,788.02
  6. Step 6: Final answer
    x = 1,596.89

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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.