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Finding the Fourth Proportional to 2,996.68, 4,491.05 and 1,590.81

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Solution

The fourth proportional to 2,996.68, 4,491.05 and 1,590.81 is: 2,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.68 : 4,491.05 = 1,590.81 : x
  2. Step 2: Convert to fraction form
    2,996.68/4,491.05 = 1,590.81/x
  3. Step 3: Cross multiply
    2,996.68x = 4,491.05 × 1,590.81
  4. Step 4: Simplify right side
    2,996.68x = 7,144,382.46
  5. Step 5: Solve for x
    x = 7,144,382.46/2,996.68
  6. Step 6: Final answer
    x = 2,384.10

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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.