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Finding the Fourth Proportional to 2,699.65, 4,050.05 and 1,313.74

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Solution

The fourth proportional to 2,699.65, 4,050.05 and 1,313.74 is: 1,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.65 : 4,050.05 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    2,699.65/4,050.05 = 1,313.74/x
  3. Step 3: Cross multiply
    2,699.65x = 4,050.05 × 1,313.74
  4. Step 4: Simplify right side
    2,699.65x = 5,320,712.69
  5. Step 5: Solve for x
    x = 5,320,712.69/2,699.65
  6. Step 6: Final answer
    x = 1,970.89

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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.