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Finding the Fourth Proportional to 1,710.46, 2,565.62 and 1,188.92

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Solution

The fourth proportional to 1,710.46, 2,565.62 and 1,188.92 is: 1,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.46 : 2,565.62 = 1,188.92 : x
  2. Step 2: Convert to fraction form
    1,710.46/2,565.62 = 1,188.92/x
  3. Step 3: Cross multiply
    1,710.46x = 2,565.62 × 1,188.92
  4. Step 4: Simplify right side
    1,710.46x = 3,050,310.99
  5. Step 5: Solve for x
    x = 3,050,310.99/1,710.46
  6. Step 6: Final answer
    x = 1,783.33

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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.