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Finding the Fourth Proportional to 1,913.87, 2,641.28 and 1,063.17

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Solution

The fourth proportional to 1,913.87, 2,641.28 and 1,063.17 is: 1,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.87 : 2,641.28 = 1,063.17 : x
  2. Step 2: Convert to fraction form
    1,913.87/2,641.28 = 1,063.17/x
  3. Step 3: Cross multiply
    1,913.87x = 2,641.28 × 1,063.17
  4. Step 4: Simplify right side
    1,913.87x = 2,808,130.32
  5. Step 5: Solve for x
    x = 2,808,130.32/1,913.87
  6. Step 6: Final answer
    x = 1,467.25

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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.