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Finding the Fourth Proportional to 1,765.15, 2,635.19 and 1,570.75

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Solution

The fourth proportional to 1,765.15, 2,635.19 and 1,570.75 is: 2,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.15 : 2,635.19 = 1,570.75 : x
  2. Step 2: Convert to fraction form
    1,765.15/2,635.19 = 1,570.75/x
  3. Step 3: Cross multiply
    1,765.15x = 2,635.19 × 1,570.75
  4. Step 4: Simplify right side
    1,765.15x = 4,139,224.69
  5. Step 5: Solve for x
    x = 4,139,224.69/1,765.15
  6. Step 6: Final answer
    x = 2,344.97

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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.