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Finding the Fourth Proportional to 3,037.65, 4,189.93 and 1,916.81

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Solution

The fourth proportional to 3,037.65, 4,189.93 and 1,916.81 is: 2,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.65 : 4,189.93 = 1,916.81 : x
  2. Step 2: Convert to fraction form
    3,037.65/4,189.93 = 1,916.81/x
  3. Step 3: Cross multiply
    3,037.65x = 4,189.93 × 1,916.81
  4. Step 4: Simplify right side
    3,037.65x = 8,031,313.26
  5. Step 5: Solve for x
    x = 8,031,313.26/3,037.65
  6. Step 6: Final answer
    x = 2,643.92

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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.