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Finding the Fourth Proportional to 2,505.58, 3,762.65 and 2,088.69

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Solution

The fourth proportional to 2,505.58, 3,762.65 and 2,088.69 is: 3,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.58 : 3,762.65 = 2,088.69 : x
  2. Step 2: Convert to fraction form
    2,505.58/3,762.65 = 2,088.69/x
  3. Step 3: Cross multiply
    2,505.58x = 3,762.65 × 2,088.69
  4. Step 4: Simplify right side
    2,505.58x = 7,858,988.79
  5. Step 5: Solve for x
    x = 7,858,988.79/2,505.58
  6. Step 6: Final answer
    x = 3,136.59

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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.