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Finding the Fourth Proportional to 1,835.84, 2,532.62 and 1,277.64

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Solution

The fourth proportional to 1,835.84, 2,532.62 and 1,277.64 is: 1,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.84 : 2,532.62 = 1,277.64 : x
  2. Step 2: Convert to fraction form
    1,835.84/2,532.62 = 1,277.64/x
  3. Step 3: Cross multiply
    1,835.84x = 2,532.62 × 1,277.64
  4. Step 4: Simplify right side
    1,835.84x = 3,235,776.62
  5. Step 5: Solve for x
    x = 3,235,776.62/1,835.84
  6. Step 6: Final answer
    x = 1,762.56

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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.