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Finding the Fourth Proportional to 1,913.62, 2,641.02 and 1,074.36

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Solution

The fourth proportional to 1,913.62, 2,641.02 and 1,074.36 is: 1,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.62 : 2,641.02 = 1,074.36 : x
  2. Step 2: Convert to fraction form
    1,913.62/2,641.02 = 1,074.36/x
  3. Step 3: Cross multiply
    1,913.62x = 2,641.02 × 1,074.36
  4. Step 4: Simplify right side
    1,913.62x = 2,837,406.25
  5. Step 5: Solve for x
    x = 2,837,406.25/1,913.62
  6. Step 6: Final answer
    x = 1,482.74

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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.