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Finding the Fourth Proportional to 3,488.74, 4,814.40 and 1,916.80

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Solution

The fourth proportional to 3,488.74, 4,814.40 and 1,916.80 is: 2,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.74 : 4,814.40 = 1,916.80 : x
  2. Step 2: Convert to fraction form
    3,488.74/4,814.40 = 1,916.80/x
  3. Step 3: Cross multiply
    3,488.74x = 4,814.40 × 1,916.80
  4. Step 4: Simplify right side
    3,488.74x = 9,228,237.07
  5. Step 5: Solve for x
    x = 9,228,237.07/3,488.74
  6. Step 6: Final answer
    x = 2,645.15

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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.