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Finding the Fourth Proportional to 2,510.07, 3,762.80 and 1,338.32

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Solution

The fourth proportional to 2,510.07, 3,762.80 and 1,338.32 is: 2,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.07 : 3,762.80 = 1,338.32 : x
  2. Step 2: Convert to fraction form
    2,510.07/3,762.80 = 1,338.32/x
  3. Step 3: Cross multiply
    2,510.07x = 3,762.80 × 1,338.32
  4. Step 4: Simplify right side
    2,510.07x = 5,035,813.30
  5. Step 5: Solve for x
    x = 5,035,813.30/2,510.07
  6. Step 6: Final answer
    x = 2,006.25

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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.