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Finding the Fourth Proportional to 2,555.65, 3,829.93 and 1,165.59

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Solution

The fourth proportional to 2,555.65, 3,829.93 and 1,165.59 is: 1,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.65 : 3,829.93 = 1,165.59 : x
  2. Step 2: Convert to fraction form
    2,555.65/3,829.93 = 1,165.59/x
  3. Step 3: Cross multiply
    2,555.65x = 3,829.93 × 1,165.59
  4. Step 4: Simplify right side
    2,555.65x = 4,464,128.11
  5. Step 5: Solve for x
    x = 4,464,128.11/2,555.65
  6. Step 6: Final answer
    x = 1,746.77

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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.