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Finding the Fourth Proportional to 1,749.81, 2,611.01 and 1,565.94

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Solution

The fourth proportional to 1,749.81, 2,611.01 and 1,565.94 is: 2,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.81 : 2,611.01 = 1,565.94 : x
  2. Step 2: Convert to fraction form
    1,749.81/2,611.01 = 1,565.94/x
  3. Step 3: Cross multiply
    1,749.81x = 2,611.01 × 1,565.94
  4. Step 4: Simplify right side
    1,749.81x = 4,088,677.17
  5. Step 5: Solve for x
    x = 4,088,677.17/1,749.81
  6. Step 6: Final answer
    x = 2,336.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.