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Finding the Fourth Proportional to 1,710.12, 2,565.66 and 1,093.80

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Solution

The fourth proportional to 1,710.12, 2,565.66 and 1,093.80 is: 1,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.12 : 2,565.66 = 1,093.80 : x
  2. Step 2: Convert to fraction form
    1,710.12/2,565.66 = 1,093.80/x
  3. Step 3: Cross multiply
    1,710.12x = 2,565.66 × 1,093.80
  4. Step 4: Simplify right side
    1,710.12x = 2,806,318.91
  5. Step 5: Solve for x
    x = 2,806,318.91/1,710.12
  6. Step 6: Final answer
    x = 1,641.01

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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.