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Finding the Fourth Proportional to 1,709.39, 2,562.48 and 1,557.22

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Solution

The fourth proportional to 1,709.39, 2,562.48 and 1,557.22 is: 2,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.39 : 2,562.48 = 1,557.22 : x
  2. Step 2: Convert to fraction form
    1,709.39/2,562.48 = 1,557.22/x
  3. Step 3: Cross multiply
    1,709.39x = 2,562.48 × 1,557.22
  4. Step 4: Simplify right side
    1,709.39x = 3,990,345.11
  5. Step 5: Solve for x
    x = 3,990,345.11/1,709.39
  6. Step 6: Final answer
    x = 2,334.37

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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.