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Finding the Fourth Proportional to 2,556.41, 3,834.71 and 707.37

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Solution

The fourth proportional to 2,556.41, 3,834.71 and 707.37 is: 1,061.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.41 : 3,834.71 = 707.37 : x
  2. Step 2: Convert to fraction form
    2,556.41/3,834.71 = 707.37/x
  3. Step 3: Cross multiply
    2,556.41x = 3,834.71 × 707.37
  4. Step 4: Simplify right side
    2,556.41x = 2,712,569.66
  5. Step 5: Solve for x
    x = 2,712,569.66/2,556.41
  6. Step 6: Final answer
    x = 1,061.08

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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.