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Finding the Fourth Proportional to 2,510.66, 3,768.27 and 1,341.65

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Solution

The fourth proportional to 2,510.66, 3,768.27 and 1,341.65 is: 2,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.66 : 3,768.27 = 1,341.65 : x
  2. Step 2: Convert to fraction form
    2,510.66/3,768.27 = 1,341.65/x
  3. Step 3: Cross multiply
    2,510.66x = 3,768.27 × 1,341.65
  4. Step 4: Simplify right side
    2,510.66x = 5,055,699.45
  5. Step 5: Solve for x
    x = 5,055,699.45/2,510.66
  6. Step 6: Final answer
    x = 2,013.69

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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.