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Finding the Fourth Proportional to 1,409.57, 2,107.15 and 1,040.93

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Solution

The fourth proportional to 1,409.57, 2,107.15 and 1,040.93 is: 1,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.57 : 2,107.15 = 1,040.93 : x
  2. Step 2: Convert to fraction form
    1,409.57/2,107.15 = 1,040.93/x
  3. Step 3: Cross multiply
    1,409.57x = 2,107.15 × 1,040.93
  4. Step 4: Simplify right side
    1,409.57x = 2,193,395.65
  5. Step 5: Solve for x
    x = 2,193,395.65/1,409.57
  6. Step 6: Final answer
    x = 1,556.07

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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.