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Finding the Fourth Proportional to 2,293.65, 3,166.00 and 1,526.92

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Solution

The fourth proportional to 2,293.65, 3,166.00 and 1,526.92 is: 2,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.65 : 3,166.00 = 1,526.92 : x
  2. Step 2: Convert to fraction form
    2,293.65/3,166.00 = 1,526.92/x
  3. Step 3: Cross multiply
    2,293.65x = 3,166.00 × 1,526.92
  4. Step 4: Simplify right side
    2,293.65x = 4,834,216.99
  5. Step 5: Solve for x
    x = 4,834,216.99/2,293.65
  6. Step 6: Final answer
    x = 2,107.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.