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Finding the Fourth Proportional to 1,712.03, 2,565.99 and 786.32

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Solution

The fourth proportional to 1,712.03, 2,565.99 and 786.32 is: 1,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.03 : 2,565.99 = 786.32 : x
  2. Step 2: Convert to fraction form
    1,712.03/2,565.99 = 786.32/x
  3. Step 3: Cross multiply
    1,712.03x = 2,565.99 × 786.32
  4. Step 4: Simplify right side
    1,712.03x = 2,017,676.43
  5. Step 5: Solve for x
    x = 2,017,676.43/1,712.03
  6. Step 6: Final answer
    x = 1,178.53

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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.