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Finding the Fourth Proportional to 2,762.86, 3,812.64 and 1,503.89

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Solution

The fourth proportional to 2,762.86, 3,812.64 and 1,503.89 is: 2,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.86 : 3,812.64 = 1,503.89 : x
  2. Step 2: Convert to fraction form
    2,762.86/3,812.64 = 1,503.89/x
  3. Step 3: Cross multiply
    2,762.86x = 3,812.64 × 1,503.89
  4. Step 4: Simplify right side
    2,762.86x = 5,733,804.18
  5. Step 5: Solve for x
    x = 5,733,804.18/2,762.86
  6. Step 6: Final answer
    x = 2,075.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.